A comment concerning cohomology and invariants of Lie algebras with respect to contractions and deformations
arXiv:hep-th/0608126 · doi:10.1016/j.physleta.2006.10.050
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.
arXiv comment13 pages, 1 table
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