Proceedings of the American Mathematical Society

The cohomology of the Heisenberg Lie algebras over fields of finite characteristic

Author(s): Grant Cairns; Sebastian Jambor
Journal: Proc. Amer. Math. Soc. 136 (2008), 3803-3807.
MSC (2000): Primary 17B55, 17B56
Posted: May 22, 2008
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 17B55, 17B56

Grant Cairns
Affiliation: Department of Mathematics, La Trobe University, Melbourne, Australia 3086
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

DOI: 10.1090/S0002-9939-08-09422-7
PII: S 0002-9939(08)09422-7
Received by editor(s): November 6, 2006,
Received by editor(s) in revised form: September 23, 2007
Posted: May 22, 2008
Communicated by: Dan M. Barbasch
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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