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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Authors: Grant Cairns and Sebastian Jambor
Journal: Proc. Amer. Math. Soc. 136 (2008), 3803-3807
MSC (2000): Primary 17B55, 17B56
Published electronically: May 22, 2008
MathSciNet review: 2425718
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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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Additional Information

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: http://dx.doi.org/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
Published electronically: May 22, 2008
Communicated by: Dan M. Barbasch
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.