The spectrum of local dualisable modular representations

2025/05/25 by Dave Benson, Srikanth B. Iyengar, Benson, Dave +5 · 1 citation
Computer Science · #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.2505.19368

Abstract

For a point \mathfrakp in the spectrum of the cohomology ring of a finite group G over a field k, we calculate the spectrum for the subcategory of dualisable objects inside the tensor triangulated category of \mathfrakp-local and \mathfrakp-torsion objects in the (big) stable module category of the group algebra kG.

Cited by

• Torsion and complete dualizable objects in tensor-triangulated categories over a Noetherian ring

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