Multiparameter quantum Schur duality of type B

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 $ı$-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.

v2, 14 pages, to appear in Proc AMS

References in corpus (1)

• Canonical bases for tensor products and super Kazhdan-Lusztig theory

Cited by in corpus (1)

• Formulae of $ı$-divided powers in ${\mathbf{U}}_q({\mathfrak{sl}}_2)$, II