40 citations · 240 across the 48 of their papers we have counts for
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A characterization of Q-polynomial distance-regular graphs
Aleksandar Jurisic, Paul Terwilliger, Arjana Zitnik
We obtain the following characterization of -polynomial distance-regular graphs. Let $\G$ denote a distance-regular graph with diameter . Let denote a minimal idempo…
Tridiagonal pairs of -Racah type and the -conjecture
Kazumasa Nomura, Paul Terwilliger
Let $\K$ denote a field and let denote a vector space over $\K$ with finite positive dimension. We consider a pair of linear transformations and that…
Tridiagonal pairs and the -conjecture
Kazumasa Nomura, Paul Terwilliger
Let denote a field and let denote a vector space over with finite positive dimension. We consider a pair of linear transformations and that sa…
An algebra generated by two sets of mutually orthogonal idempotents
Tatsuro Ito, Paul Terwilliger
For a field and an integer , we consider the universal associative -algebra generated by two sets of mutually orthogonal idempotents. We display four base…
The -Onsager algebra
Tatsuro Ito, Paul Terwilliger
This article gives a summary of the finite-dimesional irreducible representations of the -Onsager algebra, which are treated in detail in our paper `The augmented tridiagonal al…
The augmented tridiagonal algebra
Tatsuro Ito, Paul Terwilliger
Motivated by investigations of the tridiagonal pairs of linear transformations, we introduce the augmented tridiagonal algebra . This is an infinite-dimensional ass…