Chia-Yi Wen

activity

20212024

collaborators

3 papers

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.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…

math.CO2021

The Terwilliger algebra of the halved cube

Chia-Yi Wen, Hau-Wen Huang

Let $D \geq 3$ denote an integer. For any $x \in F_{2}^{D}$ let $w (x)$ denote the Hamming weight of $x$ . Let $X$ denote the subspace of $F_{2}^{D}$ consisting of all $x\in \m…

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

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

The Terwilliger algebra of the halved cube

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

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