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arXiv · 1809.08577

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

Hideya Watanabe
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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 with even white nodes and no black nodes. Also, we obtain an intrinsic characterization of the $\jmath$-crystal bases, whose original definition is artificial.

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Hideya Watanabe. 2018-09-23. Global crystal bases for integrable modules over a quantum symmetric pair of type AIII. https://arxiv.org/abs/1809.08577

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