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.
Publié le : 2009-08-15
Classification:
Nonassociative rings,
Nonassociative algebras,
Lie algebras,
Lie superalgebras,
Homological methods in Lie (super)algebras,
Cohomology of Lie (super)algebras,
17B55,
17B56
@article{1281106536,
author = {Cairns, Grant},
title = {Log-concavity of the cohomology of nilpotent Lie algebras in characteristic two},
journal = {J. Gen. Lie Theory Appl.},
volume = {3},
number = {3},
year = {2009},
pages = { 181-182},
language = {en},
url = {http://dml.mathdoc.fr/item/1281106536}
}
Cairns, Grant. Log-concavity of the cohomology of nilpotent Lie algebras in characteristic two. J. Gen. Lie Theory Appl., Tome 3 (2009) no. 3, pp. 181-182. http://gdmltest.u-ga.fr/item/1281106536/