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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2024 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Global crystal bases for integrable modules over a quantum symmetric pair of type AIII
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by Hideya Watanabe
Represent. Theory 25 (2021), 27-66
DOI: https://doi.org/10.1090/ert/556
Published electronically: January 12, 2021

Abstract:

In this paper, we study basic properties of global $\jmath$-crystal bases for integrable modules over a quantum symmetric pair coideal subalgebra $\mathbf {U}^{\jmath }$ associated to the Satake diagram of type AIII without black nodes. Also, we obtain an intrinsic characterization of the $\jmath$-crystal bases, whose original definition is artificial.
References
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Bibliographic Information
  • Hideya Watanabe
  • Affiliation: Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8052, Japan
  • MR Author ID: 1196919
  • ORCID: 0000-0002-7705-8783
  • Email: hideya@kurims.kyoto-u.ac.jp
  • Received by editor(s): November 16, 2019
  • Received by editor(s) in revised form: September 21, 2020
  • Published electronically: January 12, 2021
  • Additional Notes: This work was supported by JSPS KAKENHI grant number 17J00172
  • © Copyright 2021 American Mathematical Society
  • Journal: Represent. Theory 25 (2021), 27-66
  • MSC (2020): Primary 17B10
  • DOI: https://doi.org/10.1090/ert/556
  • MathSciNet review: 4198491