Global crystal bases for integrable modules over a quantum symmetric pair of type AIII
Representation Theory
2018-10-17 v2 Quantum Algebra
Abstract
In this paper, we study basic properties of global -crystal bases for integrable modules over a quantum symmetric pair coideal subalgebra associated to the Satake diagram of type AIII with even white nodes and no black nodes. Also, we obtain an intrinsic characterization of the -crystal bases, whose original definition is artificial.
Keywords
Cite
@article{arxiv.1809.08577,
title = {Global crystal bases for integrable modules over a quantum symmetric pair of type AIII},
author = {Hideya Watanabe},
journal= {arXiv preprint arXiv:1809.08577},
year = {2018}
}
Comments
34 pages, minor corrections