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arXiv · 1609.01766

Multiparameter quantum Schur duality of type B

Huanchen Bao·Weiqiang Wang·Hideya Watanabe
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Abstract

We establish a Schur type duality between a coideal subalgebra of the quantum group of type A and the Hecke algebra of type B with 2 parameters. We identify the $\imath$-canonical basis on the tensor product of the natural representation with Lusztig's canonical basis of the type B Hecke algebra with unequal parameters associated to a weight function.

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Huanchen Bao, Weiqiang Wang, Hideya Watanabe. 2016-09-06. Multiparameter quantum Schur duality of type B. https://arxiv.org/abs/1609.01766

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