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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 |
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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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