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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Gelfand-Kirillov dimension of cosemisimple Hopf algebras
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by Alexandru Chirvasitu, Chelsea Walton and Xingting Wang PDF
Proc. Amer. Math. Soc. 147 (2019), 4665-4672 Request permission

Abstract:

In this note, we compute the Gelfand-Kirillov dimension of cosemisimple Hopf algebras that arise as deformations of a linearly reductive algebraic group. Our work lies in a purely algebraic setting and generalizes results of Goodearl-Zhang (2007), of Banica-Vergnioux (2009), and of D’Andrea-Pinzari-Rossi (2017).
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Additional Information
  • Alexandru Chirvasitu
  • Affiliation: Department of Mathematics, University at Buffalo, Buffalo, New York 14260
  • MR Author ID: 868724
  • Email: achirvas@buffalo.edu
  • Chelsea Walton
  • Affiliation: Department of Mathematics, The University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
  • MR Author ID: 879649
  • Email: notlaw@illinois.edu
  • Xingting Wang
  • Affiliation: Department of Mathematics, Howard University, Washington, District of Columbia 20059
  • MR Author ID: 1029882
  • Email: xingting.wang@howard.edu
  • Received by editor(s): July 26, 2018
  • Received by editor(s) in revised form: February 23, 2019
  • Published electronically: June 10, 2019
  • Additional Notes: The first and second authors were partially supported by the U.S. National Science Foundation with grants #DMS-1801011 and #DMS-1663775, respectively.
    The second author was also supported by a research fellowship from the Alfred P. Sloan foundation.
  • Communicated by: Kailash C. Misra
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4665-4672
  • MSC (2010): Primary 16P90, 16T20, 20G42, 16T15
  • DOI: https://doi.org/10.1090/proc/14616
  • MathSciNet review: 4011503