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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The nucleus for restricted Lie algebras
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by David J. Benson and Daniel K. Nakano
Proc. Amer. Math. Soc. 131 (2003), 3395-3405
DOI: https://doi.org/10.1090/S0002-9939-03-06939-9
Published electronically: March 25, 2003

Abstract:

The nucleus was a concept first developed in the cohomology theory for finite groups. In this paper the authors investigate the nucleus for restricted Lie algebras. The nucleus is explicitly described for several important classes of Lie algebras.
References
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Bibliographic Information
  • David J. Benson
  • Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
  • MR Author ID: 34795
  • Email: djb@byrd.math.uga.edu
  • Daniel K. Nakano
  • Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
  • MR Author ID: 310155
  • ORCID: 0000-0001-7984-0341
  • Email: nakano@math.uga.edu
  • Received by editor(s): February 20, 2002
  • Received by editor(s) in revised form: June 20, 2002
  • Published electronically: March 25, 2003
  • Additional Notes: The research of the first author was partially supported by NSF grant DMS-9988110
    The research of the second author was partially supported by NSF grant DMS-0102225
  • Communicated by: Stephen D. Smith
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 3395-3405
  • MSC (2000): Primary 20G10, 20G05
  • DOI: https://doi.org/10.1090/S0002-9939-03-06939-9
  • MathSciNet review: 1990628