Paul M. Terwilliger

activity

20012026

most citedThe Universal Askey-Wilson Algebra

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

collaborators

Showing 2015 · math.QAShow all

3 papers · 2 filters

math.QA2015

The Lusztig automorphism of $U_{q} (sl_{2})$ from the equitable point of view

Paul Terwilliger

We consider the quantum algebra $U_{q} (sl_{2})$ in the equitable presentation. From this point of view, we describe the Lusztig automorphism and the corresponding Lusztig op…

math.QA2015★ 10 cited

The $q$ -Onsager algebra and the positive part of $U_{q} (sl_{2})$

Paul Terwilliger

The positive part $U_{q}^{+}$ of $U_{q} (sl_{2})$ has a presentation by two generators $X, Y$ that satisfy the $q$ -Serre relations. The $q$ -Onsager algebra $\mathcal O…

math.QA2015★ 3 cited

Lowering-Raising triples and $U_{q} (sl_{2})$

Paul Terwilliger

We introduce the notion of a lowering-raising (or LR) triple of linear transformations on a nonzero finite-dimensional vector space. We show how to normalize an LR triple, and clas…

The Lusztig automorphism of Uq​(sl2​) from the equitable point of view

The q-Onsager algebra and the positive part of Uq​(sl2​)

Lowering-Raising triples and Uq​(sl2​)

The Lusztig automorphism of $U_{q} (sl_{2})$ from the equitable point of view

The $q$ -Onsager algebra and the positive part of $U_{q} (sl_{2})$

Lowering-Raising triples and $U_{q} (sl_{2})$