40 citations · 209 across the 35 of their papers we have counts for
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Sharp tridiagonal pairs
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 tha…
Distance-regular graphs of -Racah type and the -tetrahedron algebra
Tatsuro Ito, Paul Terwilliger
In this paper we discuss a relationship between the following two algebras: (i) the subconstituent algebra of a distance-regular graph that has -Racah type; (ii) the -tet…
Finite-dimensional irreducible modules for the three-point loop algebra
Tatsuro Ito, Paul Terwilliger
Recently Brian Hartwig and the second author found a presentation for the three-point loop algebra by generators and relations. To obtain this presentation they defined a Li…
Tridiagonal pairs of Krawtchouk type
Tatsuro Ito, Paul Terwilliger
Let denote an algebraically closed field with characteristic 0 and let denote a vector space over with finite positive dimension. Let denote a tridiagonal pair…
Transition maps between the 24 bases for a Leonard pair
Kazumasa Nomura, Paul Terwilliger
Let denote a vector space with finite positive dimension. We consider a pair of linear transformations and that satisfy (i) and (ii) below: (i) Th…