Chih-wen Weng

most citedThe quantum algebra

U_{q} (s l_{2})

and its equitable presentation

17 citations · 17 across the 3 of their papers we have counts for

collaborators

3 papers

math.QA2005★ 17 cited

The quantum algebra $U_{q} (s l_{2})$ and its equitable presentation

Tatsuro Ito, Paul Terwilliger, Chih-wen Weng

We show that the quantum algebra $U_{q} (s l_{2})$ has a presentation with generators $x, x^{- 1}, y, z$ and relations $x x^{- 1} = 1$ , $x^{- 1} x = 1$ , $\frac{q x y - q ^{- 1} y x}{q - q ^{- 1}} = 1$ , $\frac{q…

math.CO2003

An inequality for regular near polygons

Paul Terwilliger, Chih-wen Weng

Let $G$ denote a near-polygon distance-regular graph with diameter $d \geq 3$ , valency $k$ and intersection numbers $a_{1} > 0$ , $c_{2} > 1$ . Let $θ_{1}$ denote the second largest eigenvalue…

math.CO2003

Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra

Paul Terwilliger, Chih-wen Weng

Let $Γ$ denote a distance-regular graph with diameter $D \geq 3$ and Bose-Mesner algebra $M$ . For $θ \in C \cup \infty$ we define a 1 dimensional subspace of $M$ which we call $M (θ)$ .…

The quantum algebra Uq​(sl2​) and its equitable presentation

An inequality for regular near polygons

Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra

The quantum algebra $U_{q} (s l_{2})$ and its equitable presentation