The tt-geometry of permutation modules. Part I: Stratification

2022/10/15 by Balmer, Paul, Gallauer, Martin · 1 citation
#18F99 #18G80 #20C20 #20J06 #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2210.08311

Abstract

We consider the derived category of permutation modules over a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We describe the set underlying the tt-spectrum of compact objects, and discuss several examples.

Cited by

• Cohen's theorem in tensor triangular geometry

Related

• The geometry of permutation modules
• The Balmer spectrum of integral permutation modules
• Fiberwise building and stratification in tensor triangular geometry
• Permutation modules for cellularly stratified algebras
• Stratifying modular representations of finite groups