SU\G(𝔸)/K·U

Hau-Wen Huang

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All published works
Action Title Year Authors
+ PDF Chat Verma modules and finite-dimensional irreducible modules of the universal Askey--Wilson algebra at roots of unity 2024 Hau-Wen Huang
+ PDF Chat Johnson graphs as slices of a hypercube and an algebra homomorphism from the universal Racah algebra into $U(\mathfrak{sl}_2)$ 2024 Hau-Wen Huang
Chia-Yi Wen
+ PDF Chat The Clebsch–Gordan coefficients of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">sl</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> and the Terwilliger algebras of Johnson graphs 2023 Hau-Wen Huang
+ A connection behind the Terwilliger algebras of H(D,2) and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac><mml:mi>H</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>D</mml:mi><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> 2023 Hau-Wen Huang
Chia-Yi Wen
+ PDF Chat The Clebsch-Gordan Rule for U(sl&lt;sub&gt;2&lt;/sub&gt;), the Krawtchouk Algebras and the Hamming Graphs 2023 Hau-Wen Huang
+ An imperceptible connection between the Clebsch--Gordan coefficients of $U_q(\mathfrak{sl}_2)$ and the Terwilliger algebras of Grassmann graphs 2023 Hau-Wen Huang
+ The space of Dunkl monogenics associated with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msubsup></mml:math> 2022 Hau-Wen Huang
+ A Connection Behind the Terwilliger Algebras of $H(D,2)$ and $\frac{1}{2} H(D,2)$ 2022 Hau-Wen Huang
Chia-Yi Wen
+ The Clebsch--Gordan coefficients of $U(\mathfrak{sl}_2)$ and the Terwilliger algebras of Johnson graphs 2022 Hau-Wen Huang
+ The space of Dunkl monogenics associated with $\mathbb Z_2^3$ 2021 Hau-Wen Huang
+ PDF Chat The Clebsch--Gordan rule and the Hamming graphs 2021 Hau-Wen Huang
+ PDF Chat Finite-dimensional modules of the universal Askey–Wilson algebra and DAHA of type $$(C_1^\vee ,C_1)$$ 2021 Hau-Wen Huang
+ The Clebsch-Gordan Rule for $U(\mathfrak{sl}_2)$, the Krawtchouk Algebras and the Hamming Graphs 2021 Hau-Wen Huang
+ The universal additive DAHA of type $(C_1^\vee,C_1)$ and Leonard triples 2021 SI-YAO HUANG
Hau-Wen Huang
+ The Terwilliger algebra of the halved cube 2021 Chia-Yi Wen
Hau-Wen Huang
+ The space of Dunkl monogenics associated with $\mathbb Z_2^3$ and the universal Bannai--Ito algebra 2021 Hau-Wen Huang
+ Finite-dimensional modules of the universal Racah algebra and the universal additive DAHA of type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>∨</mml:mo></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml… 2020 Hau-Wen Huang
+ PDF Chat Finite-dimensional irreducible modules of the universal Askey–Wilson algebra at roots of unity 2020 Hau-Wen Huang
+ PDF Chat The universal DAHA of type (C1∨,C1) and Leonard triples 2020 Hau-Wen Huang
+ Finite-dimensional irreducible modules of the universal DAHA of type (<i>C</i><sub>1</sub><sup>∨</sup>,<i>C</i><sub>1</sub>) 2020 Hau-Wen Huang
+ PDF Chat The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra 2020 Hau-Wen Huang
+ PDF Chat The Casimir elements of the Racah algebra 2020 Hau-Wen Huang
Sarah Bockting-Conrad
+ PDF Chat Ihara Zeta function, coefficients of Maclaurin series and Ramanujan graphs 2020 Hau-Wen Huang
+ PDF Chat Finite-dimensional irreducible modules of the Bannai–Ito algebra at characteristic zero 2020 Hau-Wen Huang
+ PDF Chat Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero 2020 Hau-Wen Huang
Sarah Bockting-Conrad
+ Finite-dimensional irreducible modules of the universal DAHA of type $(C_1^\vee,C_1)$ 2020 Hau-Wen Huang
+ The universal DAHA of type $(C_1^\vee,C_1)$ and Leonard triples 2020 Hau-Wen Huang
+ Counting the geodesic cycles of a given length. 2019 Hau-Wen Huang
+ The universal enveloping algebra of sl2 and the Racah algebra 2019 Sarah Bockting-Conrad
Hau-Wen Huang
+ Finite-dimensional modules of the Racah algebra and the additive DAHA of type $(C_1^\vee,C_1)$ 2019 Hau-Wen Huang
+ Finite-dimensional modules of the universal Racah algebra and the universal additive DAHA of type $(C_1^\vee,C_1)$ 2019 Hau-Wen Huang
+ The positivity of number sequences and the Ramanujan graphs 2019 Hau-Wen Huang
Yu-Ying Wu
+ Finite-dimensional irreducible modules of the universal Askey--Wilson algebra at roots of unity 2019 Hau-Wen Huang
+ The universal enveloping algebra of $\mathfrak{sl}_2$ and the Racah algebra 2019 Sarah Bockting-Conrad
Hau-Wen Huang
+ An algorithm to evaluate the spectral expansion 2019 Hau-Wen Huang
+ Ihara zeta function, coefficients of Maclaurin series, and Ramanujan graphs 2019 Hau-Wen Huang
+ Finite-dimensional modules of the universal Racah algebra and the universal additive DAHA of type $(C_1^\vee,C_1)$ 2019 Hau-Wen Huang
+ An algebra behind the Clebsch–Gordan coefficients of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">sl</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> 2017 Hau-Wen Huang
+ An embedding of the universal Askey–Wilson algebra into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">sl</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>⊗</mml:mo><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml… 2017 Hau-Wen Huang
+ PDF Chat A unified approach to the Galois closure problem 2017 Hau-Wen Huang
Wen-Ching Winnie Li
+ The Casimir elements of the Racah algebra 2017 Sarah Bockting-Conrad
Hau-Wen Huang
+ Center of the universal Askey–Wilson algebra at roots of unity 2016 Hau-Wen Huang
+ Centers of the universal Askey--Wilson algebra and double affine Hecke algebras of rank one at roots of unity 2015 Hau-Wen Huang
+ A unified approach to the Galois closure problem 2015 Hau-Wen Huang
Wen-Ching Winnie Li
+ Lit-only sigma-game on nondegenerate graphs 2012 Hau-Wen Huang
+ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra 2012 Hau-Wen Huang
+ The classification of Leonard triples of QRacah type 2011 Hau-Wen Huang
+ Correction of a theorem on groups generated by transvections over $\mathbb{F}_2$ 2011 Hau-Wen Huang
+ Correction of a theorem on the symmetric group generated by transvections 2011 Hau-Wen Huang
+ The classification of Leonard triples of QRacah type 2011 Hau-Wen Huang
+ Lit-only sigma-game on some trees 2010 Hau-Wen Huang
+ Two-lit trees for lit-only sigma-game 2010 Hau-Wen Huang
+ PDF Chat The edge-flipping group of a graph 2009 Hau-Wen Huang
Chih-wen Weng
+ Lit-only sigma-game and its dual game 2009 Hau-Wen Huang
+ The flipping group of a line graph 2008 Hau-Wen Huang
Chih-wen Weng
+ The flipping puzzle on a graph 2008 Hau-Wen Huang
Chih-wen Weng
+ Combinatorial representations of Coxeter groups over a field of two elements 2008 Hau-Wen Huang
Chih-wen Weng
+ The edge-flipping group of a graph 2008 Hau-Wen Huang
Chih-wen Weng
+ The flipping puzzle on a graph 2008 Hau-Wen Huang
Chih-wen Weng
Common Coauthors
Coauthor Papers Together
Chih-wen Weng 6
Sarah Bockting-Conrad 5
Chia-Yi Wen 4
Wen-Ching Winnie Li 1
Wen-Ching Winnie Li 1
SI-YAO HUANG 1
Yu-Ying Wu 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Finite-Dimensional Irreducible Modules of the Universal Askey–Wilson Algebra 2015 Hau-Wen Huang
 15
+ PDF Chat The Universal Askey-Wilson Algebra 2011 Paul Terwilliger
 13
+ ?Hidden symmetry? of Askey-Wilson polynomials 1991 Alexei Zhedanov
 13
+ PDF Chat LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS 2004 Paul Terwilliger
Raimundas Vidūnas
 11
+ PDF Chat Superintegrability in Two Dimensions and the Racah–Wilson Algebra 2014 Vincent X. Genest
Luc Vinet
Alexei Zhedanov
 10
+ PDF Chat The equitable Racah algebra from three $\mathfrak {su}(1,1)$ algebras 2013 Vincent X. Genest
Luc Vinet
Alexei Zhedanov
 10
+ PDF Chat Finite-dimensional irreducible modules of the Bannai–Ito algebra at characteristic zero 2020 Hau-Wen Huang
 10
+ PDF Chat Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero 2020 Hau-Wen Huang
Sarah Bockting-Conrad
 9
+ Two linear transformations each tridiagonal with respect to an eigenbasis of the other 2001 Paul Terwilliger
 9
+ PDF Chat Embeddings of the Racah Algebra into the Bannai-Ito Algebra 2015 Vincent X. Genest
Luc Vinet
Alexei Zhedanov
 8
+ PDF Chat The Universal Askey-Wilson Algebra and DAHA of Type (C<sub>1</sub><sup>∨</sup>,C<sub>1</sub>) 2013 Paul Terwilliger
 8
+ Symmetrical Coupling of Three Angular Momenta 1965 Jean-Marc Lévy-Leblond
Monique Lévy-Nahas
 8
+ Combinatorial representations of Coxeter groups over a field of two elements 2008 Hau-Wen Huang
Chih-wen Weng
 8
+ PDF Chat The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case 2007 Tom H. Koornwinder
 7
+ PDF Chat The non-symmetric Wilson polynomials are the Bannai–Ito polynomials 2016 Vincent X. Genest
Luc Vinet
Alexei Zhedanov
 7
+ Equivalence classes of Vogan diagrams 2004 Meng-Kiat Chuah
Chu-Chin Hu
 7
+ Lie Groups Beyond an Introduction 1996 Anthony W. Knapp
 6
+ The Terwilliger Algebra of the Hypercube 2002 Junie T. Go
 6
+ Dunkl shift operators and Bannai–Ito polynomials 2012 Satoshi Tsujimoto
Luc Vinet
Alexei Zhedanov
 6
+ PDF Chat A Laplace-Dunkl Equation on S 2 and the Bannai–Ito Algebra 2015 Vincent X. Genest
Luc Vinet
Alexei Zhedanov
 6
+ PDF Chat The Universal Askey-Wilson Algebra and the Equitable Presentation of U<sub>q</sub>(sl<sub>2</sub>) 2011 Paul Terwilliger
 6
+ PDF Chat The Bannai-Ito algebra and some applications 2015 Hendrik De Bie
Vincent X. Genest
Satoshi Tsujimoto
Luc Vinet
Alexei Zhedanov
 6
+ Modular Leonard triples 2007 Brian Curtin
 6
+ Wilson polynomials and the generic superintegrable system on the 2-sphere 2007 E. G. Kalnins
William H. Miller
Sarah Post
 6
+ None 1992 Ivan Cherednik
 5
+ The diamond lemma for ring theory 1978 George M. Bergman
 5
+ Entanglement of free fermions on Johnson graphs 2023 Pierre-Antoine Bernard
Nicolas Crampé
Luc Vinet
 5
+ Note on the Lamp Lighting Problem 2001 Henrik Eriksson
Kimmo Eriksson
Jonas Sjöstrand
 5
+ PDF Chat Normalized Leonard pairs and Askey–Wilson relations 2006 Raimundas Vidūnas
 5
+ PDF Chat Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials 2013 E. G. Kalnins
Willard Miller
Sarah Post
 5
+ PDF Chat The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra 2020 Hau-Wen Huang
 5
+ Center of the universal Askey–Wilson algebra at roots of unity 2016 Hau-Wen Huang
 5
+ PDF Chat Double Affine Hecke Algebras of Rank 1 and the Z<sub>3</sub>-Symmetric Askey-Wilson Relations 2010 Tatsuro Ito
Paul Terwilliger
 5
+ PDF Chat The Bannai–Ito algebra and a superintegrable system with reflections on the two-sphere 2014 Vincent X. Genest
Luc Vinet
Alexei Zhedanov
 5
+ Hypergeometric Orthogonal Polynomials and Their q-Analogues 2010 Roelof Koekoek
Peter Lesky
René F. Swarttouw
 5
+ Level-two structure of simply-laced Coxeter groups 2005 Mark Reeder
 5
+ The Racah algebra and superintegrable models 2014 Vincent X. Genest
Luc Vinet
Alexei Zhedanov
 5
+ The universal DAHA of type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>∨</mml:mo></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> and Leonard pairs of q-Racah type 2017 Kazumasa Nomura
Paul Terwilliger
 4
+ The classification of Leonard triples of QRacah type 2011 Hau-Wen Huang
 4
+ PDF Chat None 1992 Paul Terwilliger
 4
+ PDF Chat The Bannai-Ito polynomials as Racah coefficients of the $sl_{-1}(2)$ algebra 2014 Vincent X. Genest
Luc Vinet
Alexei Zhedanov
 4
+ Double Affine Hecke Algebras and Macdonald's Conjectures 1995 Ivan Cherednik
 4
+ An embedding of the universal Askey–Wilson algebra into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">sl</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>⊗</mml:mo><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml… 2017 Hau-Wen Huang
 4
+ The Casimir elements of the Racah algebra 2017 Sarah Bockting-Conrad
Hau-Wen Huang
 4
+ PDF Chat Confluences of the Painlevé equations, Cherednik algebras and q-Askey scheme 2016 Marta Mazzocco
 4
+ PDF Chat Centralizers of the superalgebra $\mathfrak{osp}(1|2)$ : the Brauer algebra as a quotient of the Bannai–Ito algebra 2019 Nicolas Crampé
L. Frappat
Luc Vinet
 4
+ PDF Chat The q-Onsager Algebra and the Universal Askey-Wilson Algebra 2018 Paul Terwilliger
 4
+ Finite-dimensional modules of the Racah algebra and the additive DAHA of type $(C_1^\vee,C_1)$ 2019 Hau-Wen Huang
 4
+ PDF Chat Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra 2008 Tom H. Koornwinder
 4
+ Lectures on Quantum Groups 1995 Jens Carsten Jantzen
 4