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On the cohomology of frobeniusian model Lie algebras

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Ancochea Bermúdez , José María and Campoamor Stursberg, Otto Ruttwig (2004) On the cohomology of frobeniusian model Lie algebras. Forum Mathematicum, 16 (2). pp. 249-262. ISSN 0933-7741

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Official URL: http://www.degruyter.com/view/j/form.2004.16.issue-2/form.2004.012/form.2004.012.xml




Abstract

We compute the first and second cohomology groups
with coefficients in the adjoint module of frobeniusian model algebras whose parameters move in a dense open subset of C p−1, and obtain upper bounds for the dimension of cohomology groups of frobeniusian Lie algebras. Moreover, it is shown that for a dense open subset of C p−1 the deformations of model algebras also belong to the family. Therefore any frobeniusian non-model algebra contracts on some element of the model whose parameters move on a finite union of hyperplanes. Further applications as the nullity
of Rim’s quadratic map sq1 are obtained.


Item Type:Article
Subjects:Sciences > Mathematics > Algebra
ID Code:20737
Deposited On:10 Apr 2013 14:37
Last Modified:12 Dec 2018 15:13

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