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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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