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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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