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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Connected Hopf algebras of Gelfand-Kirillov dimension four
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by D.-G. Wang, J. J. Zhang and G. Zhuang PDF
Trans. Amer. Math. Soc. 367 (2015), 5597-5632 Request permission

Abstract:

We classify connected Hopf algebras of Gelfand-Kirillov dimension 4 over an algebraically closed field of characteristic zero.
References
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Additional Information
  • D.-G. Wang
  • Affiliation: School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People’s Republic of China
  • Email: dgwang@mail.qfnu.edu.cn, dingguo95@126.com
  • J. J. Zhang
  • Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
  • MR Author ID: 314509
  • Email: zhang@math.washington.edu
  • G. Zhuang
  • Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
  • Address at time of publication: Department of Mathematics, University of Southern California, 3620 S. Vermont Avenue, Los Angeles, California 90089-2532
  • Email: gzhuang@math.washington.edu, gzhuang@usc.edu
  • Received by editor(s): March 29, 2013
  • Received by editor(s) in revised form: June 13, 2013
  • Published electronically: February 3, 2015
  • © Copyright 2015 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 367 (2015), 5597-5632
  • MSC (2010): Primary 16T05, 16P90, 16E10
  • DOI: https://doi.org/10.1090/S0002-9947-2015-06219-9
  • MathSciNet review: 3347184