4 citations · 6 across the 8 of their papers we have counts for
8 papers
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…
Finite dimensional algebras not arising as blocks of group algebras
Dave Benson, Benjamin Sambale
We develop new techniques to classify basic algebras of blocks of finite groups over algebraically closed fields of prime characteristic. We apply these techniques to simplify and…
Hochschild cohomology of symmetric groups and generating functions,II
David Benson, Radha Kessar, Markus Linckelmann
We relate the generating functions of the dimensions of the Hochschild cohomology in any fixed degree of the symmetric groups with those of blocks of the symmetric groups. We show…
Formality of cochains on BG
David Benson, John Greenlees
Let be a compact Lie group with maximal torus . If is invertible in the field then the algebra of cochains is formal as an algebra, o…
Modular representation theory and commutative Banach algebras
David Benson
In a recent paper of Benson and Symonds, a new invariant was introduced for modular representations of a finite group. An interpretation was given as a spectral radius with respect…
Fields of definition for representations of associative algebras
Dave Benson, Zinovy Reichstein
We examine situations, where representations of a finite-dimensional -algebra defined over a separable extension field , have a unique minimal field of definition. Here…
A Counterexample for Lightning Flash Modules over E(e1,e2)
David Benson, Robert R. Bruner
We give a counterexample to Theorem 5 in Section 18.2 of Margolis' book, "Spectra and the Steenrod Algebra", and make remarks about the proofs of some later theorems in the book th…