Tuong Ton-That

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All published works

Action	Title	Year	Authors
+	Poincaré's Proof of the So-Called Birkhoff-Witt Theorem	2018	Tuong Ton-That Thai-Duong Tran
+	Isotropy Subgroups of Transformation Groups	2008	Dmitriy Khots Tuong Ton-That
+	Algorithms for Computing U(N) Clebsch Gordan Coefficients	2007	S. Gliske W. H. Klink Tuong Ton-That
+	Multiplicatively closed bases for C(A)	2006	George C. Nelson Tuong Ton-That
+	Algorithms for Computing Generalized U(N) Racah Coefficients	2005	S. Gliske W. H. Klink Tuong Ton-That
+	Poincaré–Birkhoff–Witt theorems and generalized Casimir invariants for some infinite-dimensional Lie groups: II	2005	Tuong Ton-That
+	Invariant theory of a class of infinite-dimensional groups.	2003	Tuong Ton-That Thai-Duong Tran
+	An analytic proof of the theorems of Pappus and Desargues	2003	Erwin Kleinfeld Tuong Ton-That
+	A generalized mathematical model of biological oscillators.	2002	Tuong Ton-That
+	Invariant theory, generalized Casimir operators, and tensor product decompositions of<i>U</i>(<i>N</i>)	2001	R T Aulwes W. H. Klink Tuong Ton-That
+ PDF Chat	Multiplicity, invariants and tensor product decompositions of tame representations of U(∞)	2000	Roger Howe Tuong Ton-That
+	Poincaré-Birkhoff-Witt theorems and generalized Casimir invariants for some infinite-dimensional Lie groups: I	1999	Tuong Ton-That
+	Reciprocity Theorems for Holomorphic Representations of Some Infinite-Dimensional Groups	1999	Tuong Ton-That
+	Poincaré’s proof of the co-called Birkhoff-Witt theorem	1999	Tuong Ton-That Thai-Duong Tran
+	Poincaré's Proof of the so-called Birkhoff-Witt Theorem	1999	Tuong Ton-That Thai-Duong Tran
+	Multiplicity, invariants, and tensor product decompositions of compact groups	1996	W. H. Klink Tuong Ton-That
+	Casimir operators of semidirect products of semisimple with Heisenberg groups	1995	W. H. Klink Eric Y. Leung Tuong Ton-That
+	Representation Theory and Harmonic Analysis: A Conference in Honor of Ray A. Kunze, January 12-14, 1994, Cincinnati, Ohio	1995	Ray A. Kunze Tuong Ton-That Kenneth I. Gross Donald St. P. Richards Paul Sally
+ PDF Chat	On a multiplicity formula of weights of representations of ${\rm SO}\sp *(2n)$ and reciprocity theorems for symplectic groups	1995	Eric Y. Leung Tuong Ton-That
+	On a Multiplicity Formula of Weights of Representations of SO ∗ (2n) and Reciprocity Theorems for Symplectic Groups	1995	Eric Y. Leung Tuong Ton-That
+	Dual representations and invariant theory	1995	Tuong Ton-That
+ PDF Chat	Invariant theory of the dual pairs (𝑆𝑂*(2𝑛),𝑆𝑝(2𝑘,𝐂)) and (𝐒𝐩(2𝐧,ℜ),𝔒(𝔑))	1994	Eric Y. Leung Tuong Ton-That
+	Shift operators and the U(N) multiplicity problem	1993	W. H. Klink Tuong Ton-That R G Wills
+	Invariant theory of the block diagonal subgroups of GL(n,C) and generalized Casimir operators	1992	W. H. Klink Tuong Ton-That
+	Representations of SO(k, C ) on Harmonic Polynomials on a Null Cone	1991	Olivier Debarre Tuong Ton-That
+ PDF Chat	Representations of 𝑆𝑂(𝑘,𝐶) on harmonic polynomials on a null cone	1991	Olivier Debarre Tuong Ton-That
+	Representations of Sn*U(N) in repeated tensor products of the unitary groups	1990	W. H. Klink Tuong Ton-That
+	n-Fold tensor products of GL(N,C) and decomposition of fock spaces	1989	W. H. Klink Tuong Ton-That
+	Calculation of Clebsch-Gordan and Racah coefficients using symbolic manipulation programs	1989	W. H. Klink Tuong Ton-That
+	On resolving the multiplicity of arbitrary tensor products of the U(N) groups	1988	W. H. Klink Tuong Ton-That
+	Polynomial representations of the symplectic groups	1987	W. H. Klink Tuong Ton-That
+	Polynomial representations of the orthogonal groups	1986	W. H. Klink Tuong Ton-That
+	On a resolution of the multiplicity problem for U(n)	1984	W. H. Klink Tuong Ton-That
+	Orthogonal polynomial bases of the orthogonal and symplectic groups	1982	W. H. Klink Tuong Ton-That
+	Tensor Product Decomposition of Holomorphically Induced Representations and Clebsch-Gordan Coefficients	1981	Tuong Ton-That W. H. Klink
+	Representation theory of compact groups	1980	W. H. Klink Tuong Ton-That
+	Orthogonal polynomial bases for holomorphically induced representations of the general linear groups	1979	William H. Klink Tuong Ton-That
+	Erratums : “Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I. $SU(n)$ groups”	1979	William H. Klink Tuong Ton-That
+	Explicit decomposition of tensor products of certain analytic representations of symplectic groups	1978	Tuong Ton-That
+ PDF Chat	Symplectic Stiefel Harmonics and Holomorphic Representations of Symplectic Groups	1977	Tuong Ton-That
+ PDF Chat	Symplectic Stiefel harmonics and holomorphic representations of symplectic groups	1977	Tuong Ton-That
+ PDF Chat	Lie Group Representations and Harmonic Polynomials of a Matrix Variable	1976	Tuong Ton-That
+ PDF Chat	On holomorphic representations of symplectic groups	1975	Tuong Ton-That

Common Coauthors

Coauthor	Papers Together
William H. Klink	19
Thai-Duong Tran	4
Eric Y. Leung	4
S. Gliske	2
Olivier Debarre	2
Kenneth I. Gross	1
Roger Howe	1
Paul Sally	1
Donald St. P. Richards	1
Erwin Kleinfeld	1
George C. Nelson	1
R G Wills	1
Ray A. Kunze	1
R T Aulwes	1
Dmitriy Khots	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Compact Lie groups and their representations	1973	D. P. Zhelobenko	15
+	Compact Lie Groups and Their Representations	1973	D P Želobenko	11
+ PDF Chat	Lie group representations and harmonic polynomials of a matrix variable	1976	Tuong Ton That	11
+	n-Fold tensor products of GL(N,C) and decomposition of fock spaces	1989	W. H. Klink Tuong Ton-That	10
+	Compact Lie Groups and Their Representations	1973	D P Želobenko	9
+	On resolving the multiplicity of arbitrary tensor products of the U(N) groups	1988	W. H. Klink Tuong Ton-That	9
+ PDF Chat	Symplectic Stiefel harmonics and holomorphic representations of symplectic groups	1977	Tuong Ton-That	7
+	Calculation of Clebsch-Gordan and Racah coefficients using symbolic manipulation programs	1989	W. H. Klink Tuong Ton-That	6
+ PDF Chat	Invariants and fundamental functions	1963	Sigurđur Helgason	5
+ PDF Chat	Lie Group Representations on Polynomial Rings	1963	Bertram Kostant	5
+ PDF Chat	Lie Group Representations and Harmonic Polynomials of a Matrix Variable	1976	Tuong Ton-That	5
+	Invariant theory of the block diagonal subgroups of GL(n,C) and generalized Casimir operators	1992	W. H. Klink Tuong Ton-That	5
+	Lie Groups, Lie Algebras, and Their Representations	1984	V. S. Varadarajan	5
+ PDF Chat	Decomposition of regular representations for<i>U</i>(<i>H</i>)<sub>∞</sub>	1987	Douglas Pickrell	4
+	Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups	1989	G. I. Ol'shankii	4
+	Theory of Group Representations and Applications	1986	A. O. Barut R. Ra̧czka	4
+	(GLn, GLm)-duality and symmetric plethysm	1987	Roger Howe	4
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys	4
+	Representability of Lie Algebras and Lie Groups by Matrices	1937	Garrett Birkhoff	3
+	Finite Dimensional Induction and New Results on Invariants for Classical Groups, I	1984	Kenneth I. Gross Ray A. Kunze	3
+	Introduction a la théorie des groupes de Lie	1982	Roger Godement	3
+	The Two-Sided Regular Representation of a Unimodular Locally Compact Group	1950	I. E. Segal	3
+	Groups and Geometric Analysis	2000	Sigurđur Helgason	3
+ PDF Chat	A general Clebsch-Gordan theorem	1961	Robert Steinberg	3
+ PDF Chat	Representations of AF-Algebras and of the Group U (∞)	1975	Şerban-Valentin Strâtilâ Dan-Virgil Voiculescu	3
+	Orthogonal polynomial bases for holomorphically induced representations of the general linear groups	1979	William H. Klink Tuong Ton-That	3
+	On the Segal-Shale-Weil representations and harmonic polynomials	1978	Masaki Kashiwara Michèle Vergne	3
+	Bases for the Irreducible Representations of the Unitary Groups and Some Applications	1963	M. Moshińsky	3
+	The invariant theory of n × n matrices	1976	Claudio Procesi	3
+ PDF Chat	A formula for the multiplicity of a weight	1959	Bertram Kostant	3
+ PDF Chat	A Theory of Stiefel Harmonics	1974	Stephen Gelbart	3
+	Differential Operators on a Semisimple Lie Algebra	1957	Harish-chandra Harish-Chandra	2
+	Reciprocity Laws in the Theory of Dual Pairs	1983	Roger Howe	2
+	Theory of Group Representations and Applications	1978	R. F. Streater	2
+	Invariant theory, generalized Casimir operators, and tensor product decompositions of<i>U</i>(<i>N</i>)	2001	R T Aulwes W. H. Klink Tuong Ton-That	2
+	On a Hilbert space of analytic functions and an associated integral transform part I	1961	V. Bargmann	2
+	Multiplicity, invariants, and tensor product decompositions of compact groups	1996	W. H. Klink Tuong Ton-That	2
+	Canonical Definition of Wigner Coefficients in <i>Un</i>	1967	L. C. Biedenharn Alberto Giovannini James D. Louck	2
+ PDF Chat	On some applications of the universal enveloping algebra of a semisimple Lie algebra	1951	Harish-chandra Harish-Chandra	2
+ PDF Chat	Representations of Infinite-Dimensional Classical Groups, Limits of Enveloping Algebras, and Yangians	1991	Grigori Olshanski	2
+ PDF Chat	On holomorphic representations of symplectic groups	1975	Tuong Ton-That	2
+	A general setting for Casimir invariants	1975	L. Abellanas Luis Martı́nez Alonso	2
+	An Introduction to Homological Algebra	2008	Joseph Rotman	2
+	Inner and Restriction Multiplicity for Classical Groups	1969	Robert Delaney Bruno Gruber	2
+	Desingularizations of varieties of nullforms	1979	Wim H. Hesselink	2
+	Conformal invariance and line defects in the two-dimensional Ising model	1988	Malte Henkel A. Patkós	2
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	2
+ PDF Chat	Systems of singular integral operators on spheres	1969	Daniel A. Levine	2
+	Recent Progress Toward a Theory of Tensor Operators in the Unitary Groups	1970	James D. Louck	2
+ PDF Chat	Remarks on classical invariant theory	1989	Roger Howe	2