Andrew Snowden

Cohomology of flag supervarieties and resolutions of determinantal ideals. II

We compute the coherent cohomology of the structure sheaf of complex periplectic Grassmannians. In particular, we show that it can be decomposed as a tensor product of the singular cohomology ring of a Grassmannian for either the symplectic or orthogonal group together with a sem...

Oligomorphic groups and tensor categories

Abstract Given an oligomorphic group $G$ G and a measure $\mu $ μ for $G$ G (in a sense that we introduce), we define a rigid tensor category $\operatorname{\underline{Perm}}(G; \mu )$ of “permutation modules,” and, in certain cases, an abelian envelope $\operatorname{\underline{...