paper

Asymptotic representations of augmented q-Onsager algebra and boundary K-operators related to Baxter Q-operators

arXiv:1707.04574 · doi:10.1016/j.nuclphysb.2018.02.017

Abstract

We consider intertwining relations of the augmented $q$ -Onsager algebra introduced by Ito and Terwilliger, and obtain generic (diagonal) boundary $K$ -operators in terms of the Cartan element of $U_{q} (s l_{2})$ . These $K$ -operators solve reflection equations. Taking appropriate limits of these $K$ -operators in Verma modules, we derive $K$ -operators for Baxter Q-operators and corresponding reflection equations.

45 pages, v2: universal T- and Q-operators added