A solution of the 3D reflection equation from quantized algebra of functions of type B
Mathematical Physics
2013-12-06 v2 math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
Let A_q(g) be the quantized algebra of functions associated with simple Lie algebra g defined by generators obeying the so called RTT relations. We describe the embedding explicitly. As an application, a new solution of the Isaev-Kulish 3D reflection equation is constructed by combining the embedding with the previous solution for A_q(C_2) by the authors.
Keywords
Cite
@article{arxiv.1210.6430,
title = {A solution of the 3D reflection equation from quantized algebra of functions of type B},
author = {Atsuo Kuniba and Masato Okado},
journal= {arXiv preprint arXiv:1210.6430},
year = {2013}
}
Comments
7 pages, 1 figure. For proceedings of The XXIX International Colloquium on Group-Theoretical Methods in Physics, August 20-26, 2012, Chern Institute of Mathematics, Tianjin, China