Cyclic homology and the Lie algebra homology of matrices.
Let be a regular prehomogeneous vector space (abbreviated to ), where is a reductive algebraic group over . If is a decomposition of into irreducible representations, then, in general, the PV’s are no longer regular. In this paper we introduce the notion of quasi-irreducible (abbreviated to -irreducible), and show first that for completely -reducible ’s, the -isotypic components are intrinsically defined, as in ordinary representation theory. We also show that, in an appropriate...
Our main purpose in this paper is to compute the second group of local cohomology of the current Lie algebra GF with type Poincaré Lie group G and stated the local deformations associated.