Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599504 | Linear Algebra and its Applications | 2014 | 38 Pages |
Abstract
We discuss a connection between the algebra Uq(sl2) and the tridiagonal pairs of q-Racah type. To describe the connection, let x, y±1, z denote the equitable generators for Uq(sl2). Let Uq⨠denote the subalgebra of Uq(sl2) generated by x, yâ1, z. Using a tridiagonal pair of q-Racah type we construct two finite-dimensional Uqâ¨-modules. The constructions yield two nonstandard presentations of Uq⨠by generators and relations. These presentations are investigated in detail.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Sarah Bockting-Conrad, Paul Terwilliger,