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math.RT2025
Group schemes and their Lie algebras over a symmetric tensor category
Dave Benson, Julia Pevtsova
We investigate the theory of affine group schemes over a symmetric tensor category, with particular attention to the tangent space at the identity. We show that this carries the st…
math.RT2025
The spectrum of local dualisable modular representations
Dave Benson, Srikanth B. Iyengar, Henning Krause +1
For a point in the spectrum of the cohomology ring of a finite group over a field , we calculate the spectrum for the subcategory of dualisable objects inside…
math.RT2024
Locally dualisable modular representations and local regularity
Dave Benson, Srikanth B. Iyengar, Henning Krause +1
This work concerns the stable module category of a finite group over a field of characteristic dividing the group order. The minimal localising tensor ideals correspond to the non-…