6 papers · 1 filter
The nucleus of the Johnson graph
Kazumasa Nomura, Paul Terwilliger
In this paper, we describe the nucleus of the Johnson graph with . Let denote the vertex set of . Let denote the adjace…
The -symmetric -Onsager algebra and its Lusztig automorphisms
Paul Terwilliger
The -Onsager algebra is defined by two generators and two relations, called the -Dolan/Grady relations. In 2019, Baseilhac and Kolb introduced two automorphisms of $O_q…
The nucleus of a -polynomial distance-regular graph
Paul Terwilliger
Let denote a -polynomial distance-regular graph with diameter . For a vertex of the corresponding subconstituent algebra is generated by the adjace…
Projective geometries, -polynomial structures, and quantum groups
Paul Terwilliger
In 2023 we obtained a -polynomial structure for the projective geometry . In the present paper, we display a more general -polynomial structure for . Our new…
The -symmetric tridiagonal algebra
Paul Terwilliger
The tridiagonal algebra is defined by two generators and two relations, called the tridiagonal relations. Special cases of the tridiagonal algebra include the -Onsager algebra,…
The Norton-balanced condition for -polynomial distance-regular graphs
Kazumasa Nomura, Paul Terwilliger
Let denote a -polynomial distance-regular graph, with vertex set and diameter . The standard module has a basis , whe…