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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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The cohomology of the Heisenberg Lie algebras over fields of finite characteristic
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by Grant Cairns and Sebastian Jambor PDF
Proc. Amer. Math. Soc. 136 (2008), 3803-3807 Request permission

Abstract:

We give explicit formulas for the cohomology of the Heisenberg Lie algebras over fields of finite characteristic. We use this to show that in characteristic two, unlike all other cases, the Betti numbers are unimodal.
References
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Additional Information
  • Grant Cairns
  • Affiliation: Department of Mathematics, La Trobe University, Melbourne, Australia 3086
  • MR Author ID: 44265
  • ORCID: 0000-0002-9011-4567
  • Email: G.Cairns@latrobe.edu.au
  • Sebastian Jambor
  • Affiliation: Department of Mathematics, La Trobe University, Melbourne, Australia 3086
  • Email: Sebastian@momo.math.rwth-aachen.de
  • Received by editor(s): November 6, 2006
  • Received by editor(s) in revised form: September 23, 2007
  • Published electronically: May 22, 2008
  • Communicated by: Dan M. Barbasch
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3803-3807
  • MSC (2000): Primary 17B55, 17B56
  • DOI: https://doi.org/10.1090/S0002-9939-08-09422-7
  • MathSciNet review: 2425718