On sheaves in finite group representations

Tengfei Xiong, Fei Xu

Published 2020-10-20Version 1

Given a general finite group $G$, we consider several categories built on it, their Grothendieck topologies and resulting sheaf categories. We give an intrinsic new proof to the equivalence of M. Artin between the category of sheaves on the orbit category and that of group representations. We also show that the category of group representations is embedded into a sheaf category on the transporter category.