Multiparameter quantum Schur duality of type B
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- by Huanchen Bao, Weiqiang Wang and Hideya Watanabe PDF
- Proc. Amer. Math. Soc. 146 (2018), 3203-3216 Request permission
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.References
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Additional Information
- Huanchen Bao
- Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742
- MR Author ID: 1193508
- Email: huanchen@math.umd.edu
- Weiqiang Wang
- Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
- MR Author ID: 339426
- Email: ww9c@virginia.edu
- Hideya Watanabe
- Affiliation: Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan
- MR Author ID: 1196919
- ORCID: 0000-0002-7705-8783
- Email: watanabe.h.at@m.titech.ac.jp
- Received by editor(s): September 6, 2016
- Received by editor(s) in revised form: February 27, 2017, and March 17, 2017
- Published electronically: April 17, 2018
- Communicated by: Kailash Misra
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 3203-3216
- MSC (2010): Primary ~17B10
- DOI: https://doi.org/10.1090/proc/13749
- MathSciNet review: 3803649