Multiparameter quantum Schur duality of type B

Bao, Huanchen; Wang, Weiqiang; Watanabe, Hideya

doi:10.1090/proc/13749

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Multiparameter quantum Schur duality of type B

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Bao, Huanchen
Max Planck Institute for Mathematics, Max Planck Society;

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http://dx.doi.org/10.1090/proc/13749
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arXiv:1609.01766.pdf
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Citation

Bao, H., Wang, W., & Watanabe, H. (2018). Multiparameter quantum Schur duality of type B. Proceedings of the American Mathematical Society, 146(8), 3203-3216. doi:10.1090/proc/13749.

Cite as: https://hdl.handle.net/21.11116/0000-0003-DA27-C

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 two 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.