| Título: | On the cohomology of frobeniusian model Lie algebras |
| Autores: | Ancochea Bermúdez , José María ; Campoamor Stursberg, Otto Ruttwig |
| Tipo de documento: | texto impreso |
| Editorial: | WALTER DE GRUYTER, 2004 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Álgebra , Tipo = Artículo |
| Resumen: |
We compute the ?rst and second cohomology groups with coe?cients 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 ?nite union of hyperplanes. Further applications as the nullity of Rim’s quadratic map sq1 are obtained. |
| En línea: | https://eprints.ucm.es/id/eprint/20737/1/ancochea10.pdf |
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