On the finite generation of relative cohomology for Lie superalgebras
On the finite generation of relative cohomology for Lie superalgebras
The author establishes the finite generation of the cohomology ring of a classical Lie superalgebra relative to an even subsuperalgebra. A spectral sequence is constructed to provide conditions for when this relative cohomology ring is Cohen–Macaulay. With finite generation established, support varieties for modules are defined via the relative cohomology, …