A. U. Klimyk

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All published works

Action	Title	Year	Authors
+	Representation of Lie Groups and Special Functions: Recent Advances	2014	N. I︠a︡. Vilenkin A. U. Klimyk
+	On eigenfunctions of continuous and discrete (anti)symmetric multivariate Fourier transforms	2008	Natig M. Atakishiyev A. U. Klimyk
+	A MODEL OF QUANTUM OSCILLATOR WITH DISCRETE SPACE	2008	I. I. KACHURYK A. U. Klimyk
+	Alternating multivariate trigonometric functions and corresponding Fourier transforms	2008	A. U. Klimyk J. Patera
+	Al-Salam–Chihara models of quantum oscillator	2007	Natig M. Atakishiyev A. U. Klimyk
+ PDF Chat	(Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms	2007	A. U. Klimyk J. Patera
+ PDF Chat	(Anti)symmetric multivariate exponential functions and corresponding Fourier transforms	2007	A. U. Klimyk J. Patera
+ PDF Chat	The factorization of a<i>q</i>-difference equation for continuous<i>q</i>-Hermite polynomials	2007	M N Atakishiyev A. U. Klimyk
+	Classification theorem on irreducible representations of the q-deformed algebra U'_q(so(n))	2007	N. Z. Iorgov A. U. Klimyk
+	DISCRETE COORDINATE REALIZATIONS OF THE q-OSCILLATOR WHEN q>1	2006	Natig M. Atakishiyev A. U. Klimyk
+	On suq(1,1)-models of quantum oscillator	2006	M N Atakishiyev Natig M. Atakishiyev A. U. Klimyk
+	On position and momentum operators in the<i>q</i>-oscillator	2005	A. U. Klimyk
+ PDF Chat	Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials	2005	Natig M. Atakishiyev A. U. Klimyk
+ PDF Chat	On discrete q-ultraspherical polynomials and their duals	2005	Natig M. Atakishiyev A. U. Klimyk
+ PDF Chat	Classification theorem on irreducible representations of the <i>q</i>‐deformed algebra U′q(son)	2005	N. Z. Iorgov A. U. Klimyk
+	On q-orthogonal polynomials, dual to little and big q-Jacobi polynomials	2004	Natig M. Atakishiyev A. U. Klimyk
+	Duality of q-polynomials, orthogonal on countable sets of points	2004	Natig M. Atakishiyev A. U. Klimyk
+	Hypercomplex Manifold	2004	Thomas Chen Jürgen Fuchs Steven Duplij Evgeniy Ivanov Steven Duplij Alexander Gavrilik Massimo Bianchi L.N. Lipatov David Fernáendez Aristophanes Dimakis
+	Clifford Algebra	2004	Alain Connes Bernard de Wit Antoine Van Proeyen Sergey Gukov Rafael Hernández Pablo Mora A. U. Klimyk A. U. Klimyk Iver Brevik Alexander Gavrilik
+	Conformal Field Theory	2004	Alain Connes Bernard de Wit Antoine Van Proeyen Sergey Gukov Rafael Hernández Pablo Mora A. U. Klimyk A. U. Klimyk Iver Brevik Alexander Gavrilik
+	Chiral Model	2004	Alain Connes Bernard de Wit Antoine Van Proeyen Sergey Gukov Rafael Hernández Pablo Mora A. U. Klimyk A. U. Klimyk Iver Brevik Alexander Gavrilik
+	Category	2004	Alain Connes Bernard de Wit Antoine Van Proeyen Sergey Gukov Rafael Hernández Pablo Mora A. U. Klimyk A. U. Klimyk Iver Brevik Alexander Gavrilik
+	Hyperkähler Manifold	2004	Thomas Chen Jürgen Fuchs Steven Duplij Evgeniy Ivanov Steven Duplij Alexander Gavrilik Massimo Bianchi L.N. Lipatov David Fernáendez Aristophanes Dimakis
+	Conformal Weight	2004	Alain Connes Bernard de Wit Antoine Van Proeyen Sergey Gukov Rafael Hernández Pablo Mora A. U. Klimyk A. U. Klimyk Iver Brevik Alexander Gavrilik
+	Lie Algebra	2004	Steven Duplij Steven Duplij Steven Duplij F. R. Klinkhamer F. R. Klinkhamer A. U. Klimyk
+	LIE Superalgebra gl(λ)	2004	Steven Duplij Steven Duplij Steven Duplij Frans Klinkhamer Frans Klinkhamer A. U. Klimyk Gert Roepstorff Dimitry Leites Dimitry Leites
+ PDF Chat	Big<i>q</i>-Laguerre and<i>q</i>-Meixner polynomials and representations of the quantum algebra<i>U<sub>q</sub></i>(su<sub>1,1</sub>)	2003	M N Atakishiyev Natig M. Atakishiyev A. U. Klimyk
+	Harmonics on the quantum Euclidean space	2003	N. Z. Iorgov A. U. Klimyk
+ PDF Chat	A Laplace operator and harmonics on the quantum complex vector space	2003	N. Z. Iorgov A. U. Klimyk
+	A set of orthogonal polynomials, dual to alternative q-Charlier polynomials	2003	Natig M. Atakishiyev A. U. Klimyk
+	Harmonics on the Quantum Euclidean Space Related to the Quantum Orthogonal Group	2003	N. Z. Iorgov A. U. Klimyk
+	On q-orthogonal polynomials, dual to little and big q-Jacobi polynomials	2003	Natig M. Atakishiyev A. U. Klimyk
+	Diagonalization of operators and one-parameter families of nonstandard bases for representations of suq(2)	2002	Natig M. Atakishiyev A. U. Klimyk
+	q-LAPLACE OPERATOR RELATED TO THE QUANTUM UNITARY GROUP	2002	N. Z. Iorgov A. U. Klimyk
+	On q-Laplace operator and q-harmonic polynomials	2001	N. Z. Iorgov A. U. Klimyk
+	Classification of representations of the algebra U′q(so 3) through examples II	2001	M. Havlı́ček Severin Pošta A. U. Klimyk
+ PDF Chat	Representations of the <i>q</i>-deformed algebra Uq′(so4)	2001	M. Havlı́ček A. U. Klimyk Severin Pošta
+	The <i>q</i>-Laplace operator and <i>q</i>-harmonic polynomials on the quantum vector space	2001	N. Z. Iorgov A. U. Klimyk
+	The embedding<i>U</i>'<sub><i>q</i></sub>(<i>so</i><sub>3</sub>)⊂<i>U</i><sub><i>q</i></sub>(<i>sl</i><sub>3</sub>)	2001	І. І. Качурик A. U. Klimyk
+	Nonstandard Quantization of the Enveloping Algebra U(so(n)) and its Applications	2001	A. U. Klimyk
+	Classification of irreducible representations of the q-deformed algebra U'_q(so_n)	2001	A. U. Klimyk
+	The nonstandard q-deformation of enveloping algebra U(son) related to quantum gravity	2001	A. U. Klimyk
+	None	2001	A. U. Klimyk
+	None	2000	N. Z. Iorgov A. U. Klimyk
+	The Nonstandard Deformation U'_q(so_n) For q a Root of Unity	2000	N. Z. Iorgov A. U. Klimyk
+	None	2000	M. Havlı́ček A. U. Klimyk Severin Pošta
+	None	2000	V. A. Groza N. Z. Iorgov A. U. Klimyk
+ PDF Chat	Central elements of the algebras $U'_q({\rm so}_m)$ and $U_q({\rm iso}_m)$	2000	M. Havlı́ček A. U. Klimyk Severin Pošta
+ PDF Chat	Nonclassical type representations of the q-deformed algebra $U'_q({\rm so}_n)$	2000	N. Z. Iorgov A. U. Klimyk
+ PDF Chat	Representations of the cyclically symmetric <i>q</i>-deformed algebra soq(3)	1999	M. Havlı́ček A. U. Klimyk Severin Pošta
+	Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$	1999	A. U. Klimyk
+	Nonclassical representations of the nonstandard deformations U'_q(so_n), U_q(iso_n) and U'_q(so_{n,1})	1999	N. Z. Iorgov A. U. Klimyk
+ PDF Chat	Representations of the<i>q</i>-deformed algebra<i>U<sub>q</sub></i>(iso<sub>2</sub>)	1999	M. Havlı́ček A. U. Klimyk Severin Pošta
+	Infinite dimensional representations of quantum algebras and their applications	1998	A. U. Klimyk
+	Representations of quantum algebra U_q(u_{n,1})	1998	V. A. Groza N. Z. Iorgov A. U. Klimyk
+	None	1998	A. U. Klimyk
+	None	1998	M. Havlı́ček Severin Pošta A. U. Klimyk
+	Nonstandard Deformation U′ q (so n ): The Imbedding U′ q (so n ) ⊂ U q (sl n ) and Representations	1998	A. M. Gavrilik N. Z. Iorgov A. U. Klimyk
+	Quasitriangularity and Universal R-Matrices	1997	A. U. Klimyk Konrad Schmüdgen
+	Covariant Differential Calculus on Quantum Spaces	1997	A. U. Klimyk Konrad Schmüdgen
+	Drinfeld-Jimbo Algebras	1997	A. U. Klimyk Konrad Schmüdgen
+	Hopf Bimodules and Exterior Algebras	1997	A. U. Klimyk Konrad Schmüdgen
+	None	1997	M. Havlı́ček Edita Pelantová A. U. Klimyk
+	Representations of the q-deformed algebra $U'_q(so_{2,2})$	1997	A. U. Klimyk
+	Hopf Algebras	1997	A. U. Klimyk Konrad Schmüdgen
+	The Quantum Group SLq(2) and Its Representations	1997	A. U. Klimyk Konrad Schmüdgen
+	Corepresentation Theory and Compact Quantum Groups	1997	A. U. Klimyk Konrad Schmüdgen
+	Covariant Differential Calculus on Quantum Groups	1997	A. U. Klimyk Konrad Schmüdgen
+	The q-Oscillator Algebras and Their Representations	1997	A. U. Klimyk Konrad Schmüdgen
+	The Quantum Algebra Uq(sl2)and Its Representations	1997	A. U. Klimyk Konrad Schmüdgen
+	Coordinate Algebras of Quantum Groups and Quantum Vector Spaces	1997	A. U. Klimyk Konrad Schmüdgen
+	Finite-Dimensional Representations of Drinfeld-Jimbo Algebras	1997	A. U. Klimyk Konrad Schmüdgen
+	Classical and quantum Heisenberg groups, their representations and applications	1996	A. U. Klimyk Walter Schempp
+	Operator spectra inq-oscillator algebras	1996	A. U. Klimyk
+	On position and momentum operators in the <i>q</i>-oscillator algebra	1996	Won-Sang Chung A. U. Klimyk
+	Spectra, eigenvectors and overlap functions for representation operators ofq-deformed algebras	1996	A. U. Klimyk І. І. Качурик
+	q-Deformed Euclidean algebras and their representations	1995	V. A. Groza І. І. Качурик A. U. Klimyk
+	Clebsch-Gordan Coefficients of the group U(n) and Related Generalizations of Hypergeometric Functions	1995	N. Ja. Vilenkin A. U. Klimyk
+	Hypergeometric Functions Related to Jack Polynomials	1995	N. Ja. Vilenkin A. U. Klimyk
+	Spectra and Eigenfunctions of Representation Operators for Quantum Groups and q-Oscillators	1995	A. U. Klimyk
+	h-Harmonic Polynomials, h-Hankel Transform, and Coxeter Groups	1995	N. Ja. Vilenkin A. U. Klimyk
+	Symmetries of Clebsch–Gordan coefficients of the quantum group <i>U</i> <i>q</i>(<i>n</i>)	1995	A. U. Klimyk
+	Clebsch-Gordan Coefficients and Racah Coefficients of Finite Dimensional Representations	1995	N. Ja. Vilenkin A. U. Klimyk
+	Representation of Lie Groups and Special Functions	1995	N. Ja. Vilenkin A. U. Klimyk
+	Representations of Lie Groups and Special Functions	1995	A. U. Klimyk N. Ya. Vilenkin
+	Gel’fand Hypergeometric Functions	1995	N. Ja. Vilenkin A. U. Klimyk
+ PDF Chat	Representations of the q-deformed algebra U<sub>q</sub>'(SO<sub>4</sub>)	1994	І. І. Качурик A. U. Klimyk
+	Representations of the <i>q</i>-deformed algebras <i>U</i> <i>q</i>(so2,1) and <i>U</i> <i>q</i>(so3,1)	1994	A. M. Gavrilik A. U. Klimyk
+	P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups	1994	Ivan Burban A. U. Klimyk
+	Representations of the quantum algebra U<sub>q,s</sub>(su<sub>1,1</sub>)	1993	A. U. Klimyk
+	On spectral properties ofq-oscillator operators	1993	Igor Burban A. U. Klimyk
+	Representations of the quantum algebra U<sub>q</sub>(su<sub>1,1</sub>)	1993	Igor Burban A. U. Klimyk
+	Representations of the Heisenberg Group and Special Functions	1993	N. Ja. Vilenkin A. U. Klimyk
+	Infinite Dimensional Representations of Quantum Algebras	1993	A. U. Klimyk S. Pakuliak
+	Representations of Discrete Groups and Special Functions of Discrete Argument	1993	N. Ja. Vilenkin A. U. Klimyk
+	Representations of Groups, Related to SO(n−1), in Non-Canonical Bases, Special Functions, and Integral Transforms	1993	N. Ja. Vilenkin A. U. Klimyk
+	Representation of Lie Groups and Special Functions	1993	N. Ja. Vilenkin A. U. Klimyk
+	Special Functions Connected with the Groups U(n), U(n−1,1) and IU(n−1)	1993	N. Ja. Vilenkin A. U. Klimyk
+	Class I representations, special functions, and integral transforms	1993	N. I︠a︡. Vilenkin A. U. Klimyk
+	Special Functions Connected with SO(n) and with Related Groups	1993	N. Ja. Vilenkin A. U. Klimyk
+	Representation of Lie Groups and Special Functions: Volume 2: Class I Representations, Special Functions, and Integral Transforms	1992	N. Ja. Vilenkin A. U. Klimyk
+	Classical Lie groups, quantum groups and special functions	1992	A. U. Klimyk
+	Kravchuk polynomials and group representations	1992	A. U. Klimyk
+	Representations of the quantum algebras 𝒰<i>q</i>(<i>u</i> <i>r</i>,<i>s</i>) and 𝒰<i>q</i>(<i>u</i> <i>r</i>+<i>s</i>) related to the quantum hyperboloid and sphere	1992	A. U. Klimyk S. Pakuliak
+	Wigner-Eckart theorem for the quantum group U<sub>q</sub>(n)	1992	A. U. Klimyk
+	Group Representations and Special Functions of a Matrix Argument	1992	N. Ja. Vilenkin A. U. Klimyk
+	Semisimple Lie Groups and Related Homogeneous Spaces	1992	N. Ja. Vilenkin A. U. Klimyk
+	Modular Forms, Theta Functions and Representations of Affine Lie Algebras	1992	N. Ja. Vilenkin A. U. Klimyk
+	Representation of Lie Groups and Special Functions	1992	N. Ja. Vilenkin A. U. Klimyk
+	Representations of Semisimple Lie Groups and Their Matrix Elements	1992	N. Ja. Vilenkin A. U. Klimyk
+	Representations in the Gel’fand-Tsetlin Basis and Special Functions	1992	N. Ja. Vilenkin A. U. Klimyk
+	Classical and quantum groups and special functions	1992	N. I︠a︡. Vilenkin A. U. Klimyk
+	Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions	1992	N. Ja. Vilenkin A. U. Klimyk
+	General recurrence relations for Clebsch-Gordan coefficients of the quantum algebra U<sub>q</sub>(su<sub>2</sub>)	1991	І. І. Качурик A. U. Klimyk
+ PDF Chat	q-Deformed orthogonal and pseudo-orthogonal algebras and their representations	1991	A. M. Gavrilik A. U. Klimyk
+	Representations of the Quantum Algebras U q (su(2)) and U q (su(1,1))	1991	A. U. Klimyk Yu.F. Smirnov Bruno Gruber
+	Representations of the Groups SU(1,1) and SL(2, ℝ) in Mixed Bases. The Hypergeometric Function	1991	N. Ja. Vilenkin A. U. Klimyk
+	Elements of the Theory of Lie Groups and Lie Algebras	1991	N. Ja. Vilenkin A. U. Klimyk
+	Representations of the Groups of Motions of Euclidean and Pseudo-Euclidean Planes, and Cylindrical Functions	1991	N. Ja. Vilenkin A. U. Klimyk
+	Clebsch-Gordan Coefficients, Racah Coefficients, and Special Functions	1991	N. Ja. Vilenkin A. U. Klimyk
+	Introduction	1991	N. Ja. Vilenkin A. U. Klimyk
+	Representation of Lie Groups and Special Functions	1991	N. Ja. Vilenkin A. U. Klimyk
+	Simplest Lie groups, special functions and integral transforms	1991	N. I︠a︡. Vilenkin A. U. Klimyk
+	Group Representations and Harmonic Analysis on Groups	1991	N. Ja. Vilenkin A. U. Klimyk
+	On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra <i>U</i> <i>q</i>(su2)	1990	V. A. Groza І. І. Качурик A. U. Klimyk
+	On Racah coefficients of the quantum algebra U<sub>q</sub>(su<sub>2</sub>)	1990	І. І. Качурик A. U. Klimyk
+	Spectral expansions of some representations of Lie groups	1990	N. Ya. Vilenkin A. U. Klimyk
+	Relations between spherical functions of compact groups	1989	A. U. Klimyk N. Ja. Vilenkin
+	Representations of Lie Groups and Integral Transforms	1989	N. Ja. Vilenkin A. U. Klimyk
+	Problems of modern quantum field theory : invited lectures of the Spring School, held in Alushta USSR, April 24-May 5, 1989	1989	A. A. Belavin A. U. Klimyk A. B. Zamolodchikov
+	Infinitesimal operators of group representations in noncanonical bases	1988	A. U. Klimyk І. І. Качурик
+	Symmetries and Special Functions	1986	N. Ya. Vilenkin A. U. Klimyk
+	Upper bounds for multiplicities in a tensor product of representations and in a restriction of group representations to a subgroup	1985	A. U. Klimyk
+	On representations of the groups Sp(n, 1) and Sp(n)	1985	Petro Holod A. U. Klimyk
+	Matrix elements for indecomposable representations of complex su(2)	1984	Bruno Gruber A. U. Klimyk
+	Infinitesimal operators and structure of the most degenerate representations of the groups Sp( <i>p</i>+<i>q</i>) and Sp( <i>p</i>, <i>q</i>) in an Sp( <i>p</i>)×Sp(<i>q</i>) basis	1984	A. U. Klimyk Bruno Gruber
+	Infinitesimal operators and structure of the representations of the groups SO(2<i>n</i>) and SO(2<i>n</i>) in a U(<i>n</i>) basis and of the groups SU(2<i>n</i>) and SU(2<i>n</i>) in an Sp(<i>n</i>) basis	1984	A. U. Klimyk A. M. Gavrilik
+	Representations of the groups Sp(<i>n</i>,<i>R</i>) and Sp(<i>n</i>) in a U(<i>n</i>) basis	1983	A. U. Klimyk
+	Infinitesimal operators for representations of complex Lie groups and Clebsch-Gordan coefficients for compact groups	1982	A. U. Klimyk
+	Structure and matrix elements of the degenerate series representations of U(<i>p</i>+<i>q</i>) and U(<i>p</i>,<i>q</i>) in a U(<i>p</i>)×U(<i>q</i>) basis	1982	A. U. Klimyk Bruno Gruber
+	Indecomposable representations ofA 2 (su 3 ,su 2,1 ) and representations induced by them	1982	Bruno Gruber A. U. Klimyk Yu.F. Smirnov
+	Representations of the groups GL(<i>n</i>,<i>R</i>) and SU(<i>n</i>) in an SO(<i>n</i>) basis	1981	Bruno Gruber A. U. Klimyk
+	New Approach to Matrix Elements and Clebsch-Gordan Coefficients for Compact and Non-Compact Groups	1980	A. U. Klimyk
+	Matrix elements for infinitesimal operators of the groups U(<i>p</i>+<i>q</i>) and U(<i>p</i>,<i>q</i>) in a U(<i>p</i>) ×U(<i>q</i>) basis. I	1979	A. U. Klimyk Bruno Gruber
+	Matrix elements for infinitesimal operators of the groups U(<i>p</i>+<i>q</i>) and U(<i>p</i>,<i>q</i>) in a U(<i>p</i>) ×U(<i>q</i>) basis. II	1979	A. U. Klimyk Bruno Gruber
+	Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups	1979	A. U. Klimyk A. M. Gavrilik
+	Matrix elements and casimir operators of the discrete series representations of the groupU(p,q)	1979	A. U. Klimyk
+	Multiplicity free and finite multiplicity indecomposable representations of the algebra su(1,1)	1978	Bruno Gruber A. U. Klimyk
+	On the tensor product of representations of semisimple Lie groups	1977	A. U. Klimyk
+	Intertwining operators for U(n, 1)	1977	A. M. Gavrilik A. U. Klimyk
+	Properties of linear representations with a highest weight for the semisimple Lie algebras	1975	Bruno Gruber A. U. Klimyk
+	Matrix elements of tensor operators	1975	A. U. Klimyk
+	On the tensor product of representations of semisimple Lie groups	1974	A. U. Klimyk
+	The Wigner-Eckart theorem and covariant operators	1972	A. U. Klimyk
+	Wigner - Eckart theorem for locally compact groups	1971	A. U. Klimyk
+	Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras	1970	A. U. Klimyk
+	Representations of a Gell-Mann-Dashen algebra	1970	A. U. Klimyk
+	One class of representations of current algebra	1969	A. U. Klimyk
+	On Clebsch-Gordan coefficients of unitary, orthogonal, and simplectic groups and Clebsch-Gordan series of a unitary group	1968	A. U. Klimyk
+	Thirteen Papers on Algebra and Analysis	1968	B. L. Golinskii Gülden Gün Polat V. P. Gurariĭ I. S. Iohvidov Р. С. Исмагилов M. Kadec A. U. Klimyk О. Б. Лыкова V. Macaev Ju. Mitropol′skiĭ

Common Coauthors

Coauthor	Papers Together
N. Ja. Vilenkin	29
N. Z. Iorgov	15
Konrad Schmüdgen	12
Natig M. Atakishiyev	12
Bruno Gruber	10
І. І. Качурик	8
M. Havlı́ček	8
Severin Pošta	7
Alexander Gavrilik	7
Antoine Van Proeyen	6
Mikhail Shifman	6
Massimo Bianchi	6
A. M. Gavrilik	6
Dimitry Leites	6
Martin Schlichenmaier	5
Iver Brevik	5
Rafael Hernández	5
Steven Duplij	5
Alain Connes	5
Bernard de Wit	5
Pablo Mora	5
V. A. Groza	4
N. I︠a︡. Vilenkin	4
Andrei Kelarev	4
Władysław Marcinek	4
Rolf Schimmrigk	4
Victor O. Rivelles	4
Stéphan Narison	4
Sergey Gukov	4
José de Azcárraga	4
Масуд Чайчиан	3
M N Atakishiyev	3
Roberto Floreanini	3
N. Ya. Vilenkin	3
Silvia Penati	3
J. Patera	3
Gert Roepstorff	3
Wenfeng Chen	3
José Izquierdo	3
Igor Burban	2
Gerard Hooft	2
L.N. Lipatov	2
Aristophanes Dimakis	2
Dmitri V. Alekseevsky	2
Thomas Chen	2
Peter Trotter	2
Jürgen Fuchs	2
Evgeniy Ivanov	2
Folkert Müller‐Hoissen	2
Yu.F. Smirnov	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	q-Deformed orthogonal and pseudo-orthogonal algebras and their representations	1991	A. M. Gavrilik A. U. Klimyk	21
+	Representation of Lie Groups and Special Functions	1992	N. Ja. Vilenkin A. U. Klimyk	20
+	Aq-difference analogue of U(g) and the Yang-Baxter equation	1985	Michio Jimbo	18
+	Macdonald's Symmetric Polynomials as Zonal Spherical Functions on Some Quantum Homogeneous Spaces	1996	Masatoshi Noumi	17
+	Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups	1979	A. U. Klimyk A. M. Gavrilik	15
+	Basic hypergeometric functions	2008	Annie Cuyt Vigdis Brevik Petersen Brigitte Verdonk Haakon Waadeland William B. Jones	14
+	Representations of the quantum algebra U<sub>q</sub>(su<sub>1,1</sub>)	1993	Igor Burban A. U. Klimyk	14
+	On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)<sub>q</sub>	1989	Alan Macfarlane	13
+	Expansions in eigenfunctions of selfadjoint operators	1968	Ю. М. Березанский Richard Bolstein	13
+ PDF Chat	Representations of the cyclically symmetric <i>q</i>-deformed algebra soq(3)	1999	M. Havlı́ček A. U. Klimyk Severin Pošta	12
+	The quantum group SU<sub>q</sub>(2) and a q-analogue of the boson operators	1989	L. C. Biedenharn	12
+	HOPF ALGEBRAS AND THE QUANTUM YANG-BAXTER EQUATION	1990	Vladimir Drinfeld	11
+	Theory of Group Representations and Applications	1986	A. O. Barut R. Ra̧czka	11
+	Expansions in Eigenfunctions of Selfadjoint Operators	1968	Ju. M. Berezanskiĭ	11
+	Quantum deformations of SU(2)	1990	D. B. Fairlie	11
+	Dual pairs, spherical harmonics and a Capelli identity in quantum group theory	1996	Masatoshi Noumi Tôru Umeda Masato Wakayama	10
+ PDF Chat	Nonclassical type representations of the q-deformed algebra $U'_q({\rm so}_n)$	2000	N. Z. Iorgov A. U. Klimyk	9
+	Special Functions and the Theory of Group Representations	1968	N. I︠a︡. Vilenkin	9
+ PDF Chat	Harmonic analysis on semisimple Lie groups	1970	Harish-chandra Harish-Chandra	9
+	A generalization of ultraspherical polynomials	1983	Richard Askey Mourad E. H. Ismail	8
+	Matrix elements for infinitesimal operators of the groups U(<i>p</i>+<i>q</i>) and U(<i>p</i>,<i>q</i>) in a U(<i>p</i>) ×U(<i>q</i>) basis. I	1979	A. U. Klimyk Bruno Gruber	8
+	On spectral properties ofq-oscillator operators	1993	Igor Burban A. U. Klimyk	8
+	Representations of the <i>q</i>-deformed algebras <i>U</i> <i>q</i>(so2,1) and <i>U</i> <i>q</i>(so3,1)	1994	A. M. Gavrilik A. U. Klimyk	8
+ PDF Chat	Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra	1988	Marc Rosso	8
+	The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue	1996	Roelof Koekoek René F. Swarttouw	7
+	Structure and matrix elements of the degenerate series representations of U(<i>p</i>+<i>q</i>) and U(<i>p</i>,<i>q</i>) in a U(<i>p</i>)×U(<i>q</i>) basis	1982	A. U. Klimyk Bruno Gruber	7
+	Continuous q-Hermite Polynomials When q > 1	1989	Richard Askey	7
+	The <i>q</i>-Laplace operator and <i>q</i>-harmonic polynomials on the quantum vector space	2001	N. Z. Iorgov A. U. Klimyk	7
+	On the classification of irreducible finite-dimensional representations of Uq′(so3) algebra	2001	M. Havlı́ček Severin Pošta	7
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason	7
+	Finite-dimensional representations of the group of unimodular matrices	1950	Israel M. Gelfand Michael .L. Zetlin	6
+ PDF Chat	𝑞-Hermite polynomials, biorthogonal rational functions, and 𝑞-beta integrals	1994	Mourad E. H. Ismail David R. Masson	6
+	Compact Lie groups and their representations	1973	D. P. Zhelobenko	6
+	Quantum deformations of certain simple modules over enveloping algebras	1988	G. Lusztig	6
+	Spectra, eigenvectors and overlap functions for representation operators ofq-deformed algebras	1996	A. U. Klimyk І. І. Качурик	6
+	On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra <i>U</i> <i>q</i>(su2)	1990	V. A. Groza І. І. Качурик A. U. Klimyk	6
+	Interwining Operators for Semisimple Groups	1971	Anthony W. Knapp E. M. Stein	6
+	Classical orthogonal polynomials	1985	George E. Andrews Richard Askey	6
+	Some q-Krawtchouk Polynomials on Chevalley Groups	1980	Dennis Stanton	5
+	Irreducible Unitary Representations of the Lorentz Group	1947	V. Bargmann	5
+ PDF Chat	Representations of semisimple Lie groups. III	1954	Harish-chandra Harish-Chandra	5
+	Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$	1999	A. U. Klimyk	5
+	A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols	1979	Richard Askey James Wilson	5
+	Matrix elements for infinitesimal operators of the groups U(<i>p</i>+<i>q</i>) and U(<i>p</i>,<i>q</i>) in a U(<i>p</i>) ×U(<i>q</i>) basis. II	1979	A. U. Klimyk Bruno Gruber	5
+	An analog of the Sklyanin algebra	1986	A. V. Odesskiĭ	5
+	None	2000	Leonid Chekhov V. V. Fock	5
+	Quantum R matrix related to the generalized Toda system: An algebraic approach	1988	Michio Jimbo	5
+ PDF Chat	On some applications of the universal enveloping algebra of a semisimple Lie algebra	1951	Harish-chandra Harish-Chandra	5
+	Representations of the groups GL(<i>n</i>,<i>R</i>) and SU(<i>n</i>) in an SO(<i>n</i>) basis	1981	Bruno Gruber A. U. Klimyk	5
+	Lectures on Quantum Groups	1995	Jens Carsten Jantzen	5