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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Quantum supergroups II. Canonical basis
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by Sean Clark, David Hill and Weiqiang Wang PDF
Represent. Theory 18 (2014), 278-309 Request permission


Following Kashiwara’s algebraic approach, we construct crystal bases and canonical bases for quantum supergroups of anisotropic type and for their integrable modules.
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Additional Information
  • Sean Clark
  • Affiliation: Department of Mathematics, 567 Lake Hall, Northeastern University, Boston, Massachusetts 02115
  • Email: se.clark@neu.ed
  • David Hill
  • Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
  • Email:
  • Weiqiang Wang
  • Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
  • MR Author ID: 339426
  • Email:
  • Received by editor(s): April 16, 2013
  • Received by editor(s) in revised form: March 14, 2014
  • Published electronically: September 9, 2014
  • Additional Notes: The first author was partially supported by the Semester Fellowship from Department of Mathematics, University of Virginia (UVA)
    The first and third authors gratefully acknowledge the support and stimulating environment at the Institute of Mathematics, Academia Sinica, Taipei, during their visits in Spring 2013
    The third author was partially supported by NSF DMS-1101268 and the UVA Sesqui Fellowship
  • © Copyright 2014 American Mathematical Society
  • Journal: Represent. Theory 18 (2014), 278-309
  • MSC (2010): Primary 17B37
  • DOI:
  • MathSciNet review: 3256709