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August 2009 Log-concavity of the cohomology of nilpotent Lie algebras in characteristic two
Grant Cairns
J. Gen. Lie Theory Appl. 3(3): 181-182 (August 2009). DOI: 10.4303/jglta/S090303

Abstract

It is known that the Betti numbers of the Heisenberg Lie algebras are unimodal over fields of characteristic two. This note observes that they are log-concave. An example is given of a nilpotent Lie algebra in characteristic two for which the Betti numbers are unimodal but not log-concave.

Citation

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Grant Cairns. "Log-concavity of the cohomology of nilpotent Lie algebras in characteristic two." J. Gen. Lie Theory Appl. 3 (3) 181 - 182, August 2009. https://doi.org/10.4303/jglta/S090303

Information

Published: August 2009
First available in Project Euclid: 6 August 2010

zbMATH: 1241.17022
MathSciNet: MR2534022
Digital Object Identifier: 10.4303/jglta/S090303

Subjects:
Primary: 17B55 , 17B56

Keywords: Cohomology of Lie (super)algebras , Homological methods in Lie (super)algebras , Lie algebras , Lie superalgebras , Nonassociative algebras , Nonassociative rings

Rights: Copyright © 2009 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.3 • No. 3 • August 2009
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