Paul M. Terwilliger

activity

20012011

most citedThe Universal Askey-Wilson Algebra

71 citations · 312 across the 50 of their papers we have counts for

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Showing 2005 · math.QAShow all

3 papers · 2 filters

math.QA2005

Two non-nilpotent linear transformations that satisfy the cubic $q$ -Serre relations

Tatsuro Ito, Paul Terwilliger

Let $K$ denote an algebraically closed field with characteristic 0, and let $q$ denote a nonzero scalar in $K$ that is not a root of unity. Let $A_{q}$ denote the unital associative…

math.QA2005★ 12 cited

The equitable presentation for the quantum group $U_{q} (g)$ associated with a symmetrizable Kac-Moody algebra $g$

Paul Terwilliger

We consider the quantum group $U_{q} (g)$ associated with a symmetrizable Kac-Moody algebra $g$ . We display a presentation for $U_{q} (g)$ that we find attractive; we call this the equit…

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…

Two non-nilpotent linear transformations that satisfy the cubic q-Serre relations

The equitable presentation for the quantum group Uq​(g) associated with a symmetrizable Kac-Moody algebra g

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

Two non-nilpotent linear transformations that satisfy the cubic $q$ -Serre relations

The equitable presentation for the quantum group $U_{q} (g)$ associated with a symmetrizable Kac-Moody algebra $g$

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