Paul M. Terwilliger

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most citedThe Universal Askey-Wilson Algebra

71 citations · 733 across the 109 of their papers we have counts for

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Showing 2018 · math.QAShow all

3 papers · 2 filters

math.QA2018★ 4 cited

Using Catalan words and a $q$ -shuffle algebra to describe a PBW basis for the positive part of $U_{q} (sl_{2})$

Paul Terwilliger

The positive part $U_{q}^{+}$ of $U_{q} (sl_{2})$ has a presentation with two generators $A, B$ that satisfy the cubic $q$ -Serre relations. In 1993 I. Damiani obtaine…

math.QA2018★ 2 cited

An Infinite-Dimensional $□_{q}$ -Module Obtained from the $q$ -Shuffle Algebra for Affine $sl_{2}$

Sarah Post, Paul Terwilliger

Let $F$ denote a field, and pick a nonzero $q \in F$ that is not a root of unity. Let $Z_{4} = Z /4 Z$ denote the cyclic group of order 4. Define…

math.QA2018★ 22 cited

The $q$ -Onsager Algebra and the Universal Askey-Wilson Algebra

Paul Terwilliger

Recently Pascal Baseilhac and Stefan Kolb obtained a PBW basis for the $q$ -Onsager algebra $O_{q}$ . They defined the PBW basis elements recursively, and it is obscure how to…

Using Catalan words and a q-shuffle algebra to describe a PBW basis for the positive part of Uq​(sl2​)

An Infinite-Dimensional □q​-Module Obtained from the q-Shuffle Algebra for Affine sl2​

The q-Onsager Algebra and the Universal Askey-Wilson Algebra

Using Catalan words and a $q$ -shuffle algebra to describe a PBW basis for the positive part of $U_{q} (sl_{2})$

An Infinite-Dimensional $□_{q}$ -Module Obtained from the $q$ -Shuffle Algebra for Affine $sl_{2}$

The $q$ -Onsager Algebra and the Universal Askey-Wilson Algebra