Cohomology and support varieties for Lie superalgebras
Cohomology and support varieties for Lie superalgebras
Unlike Lie algebras, the finite dimensional complex representations of a simple Lie superalgebra are usually not semisimple.As a consequence, despite over thirty years of study, these remain mysterious objects.In this paper we introduce a new tool: the notion of cohomological support varieties for the finite dimensional supermodules for a classical …