Paul M. Terwilliger

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20012026

most citedThe Universal Askey-Wilson Algebra

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

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Showing 2022 · math.COShow all

3 papers · 2 filters

math.CO2022★ 9 cited

A $Q$ -polynomial structure associated with the projective geometry $L_{N} (q)$

Paul Terwilliger

There is a type of distance-regular graph, said to be $Q$ -polynomial. In this paper we investigate a generalized $Q$ -polynomial property involving a graph that is not necessarily d…

math.CO2022

Distance-regular graphs, the subconstituent algebra, and the $Q$ -polynomial property

Paul Terwilliger

This survey paper contains a tutorial introduction to distance-regular graphs, with an emphasis on the subconstituent algebra and the $Q$ -polynomial property.

math.CO2022★ 2 cited

Tridiagonal pairs, alternating elements, and distance-regular graphs

Paul Terwilliger

The positive part $U_{q}^{+}$ of $U_{q} (sl^_{2})$ has a presentation with two generators $W_{0}$ , $W_{1}$ and two relations called the $q$ -Serre relations. The algebra $U_{q}^{+}$ …

A Q-polynomial structure associated with the projective geometry LN​(q)

Distance-regular graphs, the subconstituent algebra, and the Q-polynomial property

Tridiagonal pairs, alternating elements, and distance-regular graphs

A $Q$ -polynomial structure associated with the projective geometry $L_{N} (q)$

Distance-regular graphs, the subconstituent algebra, and the $Q$ -polynomial property