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

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7 papers · 1 filter

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.RA2019★ 15 cited

Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero

Hau-Wen Huang, Sarah Bockting-Conrad

Assume that $F$ is an algebraically closed field with characteristic zero. The Racah algebra $ℜ$ is the unital associative $F$ -algebra defined by generators a…

math.RA2019★ 1 cited

The universal enveloping algebra of $sl_{2}$ and the Racah algebra

Sarah Bockting-Conrad, Hau-Wen Huang

Let $F$ denote a field with $char F \neq = 2$ . The Racah algebra $ℜ$ is the unital associative $F$ -algebra defined by generators and relations in t…

math.RA2019★ 5 cited

The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra

Hau-Wen Huang

Assume that $F$ is a field with $char F \neq = 2$ . The Racah algebra $ℜ$ is a unital associative $F$ -algebra defined by generators and re…

math.RA2017★ 5 cited

The Casimir elements of the Racah algebra

Sarah Bockting-Conrad, Hau-Wen Huang

Let $F$ denote a field with $char F \neq = 2$ . The Racah algebra $R$ is the unital associative $F$ -algebra defined by generators and relat…

math.RA2012

Finite-dimensional irreducible modules of the universal Askey-Wilson algebra