Multiparameter quantum Schur duality of type B
Quantum Algebra
2018-06-12 v2 Representation Theory
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 -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.
Cite
@article{arxiv.1609.01766,
title = {Multiparameter quantum Schur duality of type B},
author = {Huanchen Bao and Weiqiang Wang and Hideya Watanabe},
journal= {arXiv preprint arXiv:1609.01766},
year = {2018}
}
Comments
v2, 14 pages, to appear in Proc AMS