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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Homological integral of Hopf algebras
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by D.-M. Lu, Q.-S. Wu and J. J. Zhang PDF
Trans. Amer. Math. Soc. 359 (2007), 4945-4975 Request permission

Abstract:

The left and right homological integrals are introduced for a large class of infinite dimensional Hopf algebras. Using the homological integrals we prove a version of Maschke’s theorem for infinite dimensional Hopf algebras. The generalization of Maschke’s theorem and homological integrals are the keys to studying noetherian regular Hopf algebras of Gelfand-Kirillov dimension one.
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Additional Information
  • D.-M. Lu
  • Affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
  • Email: dmlu@zju.edu.cn
  • Q.-S. Wu
  • Affiliation: Institute of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China
  • Email: qswu@fudan.edu.cn
  • J. J. Zhang
  • Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
  • MR Author ID: 314509
  • Email: zhang@math.washington.edu
  • Received by editor(s): May 16, 2005
  • Received by editor(s) in revised form: July 11, 2005
  • Published electronically: May 16, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 4945-4975
  • MSC (2000): Primary 16A62, 16W30; Secondary 16E70, 20J50
  • DOI: https://doi.org/10.1090/S0002-9947-07-04159-1
  • MathSciNet review: 2320655