Hau-wen Huang

activity

20082025

most citedAn embedding of the universal Askey-Wilson algebra into

U_{q} (sl_{2}) \otimes U_{q} (sl_{2}) \otimes U_{q} (sl_{2})

29 citations · 126 across the 33 of their papers we have counts for

collaborators

33 papers

math.RA2025

The Askey--Wilson algebras, the Lie algebra $so_{3}$ , and their fermionic realizations

Hau-Wen Huang

This paper establishes a comprehensive algebraic framework linking the Lie algebra $so_{3}$ to the Askey--Wilson algebras. First, we provide a manifestly symmetric refor…

math.CO2025

A skew group ring of $Z /2 Z$ over $U (sl_{2})$ , Leonard triples and odd graphs

Hau-Wen Huang, Chin-Yen Lee

We employ a skew group ring of $Z /2 Z$ over $U (sl_{2})$ to construct modules over the universal Bannai--Ito algebra. In addition, we give the conditions und…

math.CO2024

Johnson graphs as slices of a hypercube and an algebra homomorphism from the universal Racah algebra into $U (sl_{2})$

Hau-Wen Huang, Chia-Yi Wen

From the viewpoint of Johnson graphs as slices of a hypercube, we derive a novel algebra homomorphism $♯$ from the universal Racah algebra $ℜ$ into $U (sl_{2})$ . We…

math.CO2023★ 4 cited

An imperceptible connection between the Clebsch--Gordan coefficients of $U_{q} (sl_{2})$ and the Terwilliger algebras of Grassmann graphs

Hau-Wen Huang

The Clebsch--Gordan coefficients of $U (sl_{2})$ are expressible in terms of Hahn polynomials. The phenomenon can be explained by an algebra homomorphism $♮$ from th…

math.CO2022★ 5 cited

The Clebsch--Gordan coefficients of $U (sl_{2})$ and the Terwilliger algebras of Johnson graphs

Hau-Wen Huang

The universal enveloping algebra $U (sl_{2})$ of $sl_{2}$ is a unital associative algebra over $C$ generated by $E, F, H$ subject to the relations \begin{ali…

math.CO2022

A Connection Behind the Terwilliger Algebras of $H (D, 2)$ and $\frac{1}{2} H (D, 2)$

Hau-Wen Huang, Chia-Yi Wen

The universal enveloping algebra $U (sl_{2})$ of $sl_{2}$ is a unital associative algebra over $C$ generated by $E, F, H$ subject to the relations \begin{ali…

The Askey--Wilson algebras, the Lie algebra so3​, and their fermionic realizations

A skew group ring of Z/2Z over U(sl2​), Leonard triples and odd graphs

Johnson graphs as slices of a hypercube and an algebra homomorphism from the universal Racah algebra into U(sl2​)

An imperceptible connection between the Clebsch--Gordan coefficients of Uq​(sl2​) and the Terwilliger algebras of Grassmann graphs

The Clebsch--Gordan coefficients of U(sl2​) and the Terwilliger algebras of Johnson graphs

A Connection Behind the Terwilliger Algebras of H(D,2) and 21​H(D,2)

The Askey--Wilson algebras, the Lie algebra $so_{3}$ , and their fermionic realizations

A skew group ring of $Z /2 Z$ over $U (sl_{2})$ , Leonard triples and odd graphs

Johnson graphs as slices of a hypercube and an algebra homomorphism from the universal Racah algebra into $U (sl_{2})$

An imperceptible connection between the Clebsch--Gordan coefficients of $U_{q} (sl_{2})$ and the Terwilliger algebras of Grassmann graphs

The Clebsch--Gordan coefficients of $U (sl_{2})$ and the Terwilliger algebras of Johnson graphs

A Connection Behind the Terwilliger Algebras of $H (D, 2)$ and $\frac{1}{2} H (D, 2)$