Distance-regular graphs and the q-tetrahedron algebra

DOI DOI IR IR

Search this article

Abstract

金沢大学理工研究域数物科学系

Let Γ denote a distance-regular graph with classical parameters (D, b, α, β) and b ≠ 1, α = b - 1. The condition on α implies that Γ is formally self-dual. For b = q we use the adjacency matrix and dual adjacency matrix to obtain an action of the q-tetrahedron algebra {squared times} on the standard module of Γ. We describe four algebra homomorphisms into {squared times} from the quantum affine algebra U (over(, s l,, ̂,)); using these we pull back the above {squared times}-action to obtain four actions of U (over(, s l,, ̂,)) on the standard module of Γ. © 2008 Elsevier Ltd. All rights reserved.

Journal

Details 詳細情報について

Report a problem

Back to top