33 citations · 104 across the 28 of their papers we have counts for
34 papers
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…
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…
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-…
Lattices over finite group schemes and stratification
Tobias Barthel, Dave Benson, Srikanth B. Iyengar +2
This work concerns representations of a finite flat group scheme , defined over a noetherian commutative ring . The focus is on lattices, namely, finitely generated -modul…
Local dualisable objects in local algebra
Dave Benson, Srikanth B. Iyengar, Henning Krause +1
We discuss dualisable objects in minimal subcategories of compactly generated tensor triangulated categories, paying special attention to the derived category of a commutative noet…
The half-quantum flag variety and representations for small quantum groups
Cris Negron, Julia Pevtsova
Consider an almost-simple algebraic group G and a choice of complex root of unity q. We study the category of quasi-coherent sheaves on the half-quantum flag variet…