Nate Harman

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{...