A comment concerning cohomology and invariants of Lie algebras with respect to contractions and deformations

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Campoamor Stursberg, Otto Ruttwig (2007) A comment concerning cohomology and invariants of Lie algebras with respect to contractions and deformations. Physics Letters A, 362 (5-6). pp. 360-367. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/S0375960106016422




Abstract

Contrary to the expected behavior, we show the existence of non-invertible deformations of Lie algebras which can generate invariants for the coadjoint representation,
as well as delete cohomology with values in the trivial or adjoint module. A criterion to decide whether a given deformation is invertible or not is given in dependence
of the Poincaré polynomial.


Item Type:Article
Subjects:Sciences > Mathematics > Algebra
ID Code:21618
Deposited On:31 May 2013 14:24
Last Modified:12 Dec 2018 15:13

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