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

Author:

Watanabe Hideya

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

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