71 citations · 733 across the 109 of their papers we have counts for
5 papers · 1 filter
Totally bipartite tridiagonal pairs
Kazumasa Nomura, Paul Terwilliger
There is a concept in linear algebra called a tridiagonal pair. The concept was motivated by the theory of -polynomial distance-regular graphs. We give a tutorial introduction t…
The quantum adjacency algebra and subconstituent algebra of a graph
Paul Terwilliger, Arjana Žitnik
Let denote a finite, undirected, connected graph, with vertex set . Fix a vertex . Associated with is a certain subalgebra of ,…
A poset whose maximal chains are in bijection with the alternating sign matrices
Paul Terwilliger
For an integer , we display a poset whose maximal chains are in bijection with the alternating sign matrices. The Hasse diagram is obtaine…
The Lusztig automorphism of the -Onsager algebra
Paul Terwilliger
Pascal Baseilhac and Stefan Kolb recently introduced the Lusztig automorphism of the -Onsager algebra . In this paper, we express each of as a form…
The universal DAHA of type and Leonard pairs of -Racah type
Kazumasa Nomura, Paul Terwilliger
A Leonard pair is a pair of diagonalizable linear transformations of a finite-dimensional vector space, each of which acts in an irreducible tridiagonal fashion on an eigenbasis fo…