Global crystal bases for integrable modules over a quantum symmetric pair of type AIII,Representation Theory

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Global crystal bases for integrable modules over a quantum symmetric pair of type AIII
Representation Theory ( IF 0.6 ) Pub Date : 2021-01-12 , DOI: 10.1090/ert/556
Hideya Watanabe

Abstract:In this paper, we study basic properties of global $\jmath$ -crystal bases for integrable modules over a quantum symmetric pair coideal subalgebra $\mathbf {U}^{\jmath }$ associated to the Satake diagram of type AIII without black nodes. Also, we obtain an intrinsic characterization of the $\jmath$ -crystal bases, whose original definition is artificial.

中文翻译：

用于AIII型量子对称对上的可集成模块的全局晶体基础

摘要：本文研究 $\ jmath$ 了与不带黑色结点的AIII型Satake图相关的量子对称对共理想子代数上可积模块的全局晶体基础的基本性质。同样，我们获得了-晶体基体的固有特征，其原始定义是人工的。 $\ mathbf {U} ^ {\ jmath}$ $\ jmath$

更新日期：2021-01-13

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