2018年9月23日
Global crystal bases for integrable modules over a quantum symmetric pair of type AIII
Represent. Theory 25 (2021), 27–66.
In this paper, we study basic properties of global $\jmath$-crystal bases for<br />
integrable modules over a quantum symmetric pair coideal subalgebra<br />
$\mathbf{U}^{\jmath}$ associated to the Satake diagram of type AIII with even<br />
white nodes and no black nodes. Also, we obtain an intrinsic characterization<br />
of the $\jmath$-crystal bases, whose original definition is artificial.
integrable modules over a quantum symmetric pair coideal subalgebra<br />
$\mathbf{U}^{\jmath}$ associated to the Satake diagram of type AIII with even<br />
white nodes and no black nodes. Also, we obtain an intrinsic characterization<br />
of the $\jmath$-crystal bases, whose original definition is artificial.
- ID情報
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- arXiv ID : arXiv:1809.08577