The tt-geometry of permutation modules. Part II: Twisted cohomology

Published 10 Jul 2023 in math.RT and math.CT | (2307.04398v1)

Abstract: We continue our analysis of the derived category of permutation modules over a finite group. In arXiv:2210.08311 we identified the spectrum of this tensor-triangulated category as a set. Here we describe its topology, by reducing the problem to elementary abelian groups and then using a twisted form of cohomology to realize the spectrum as a Dirac scheme.

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