7 citations · 16 across the 10 of their papers we have counts for
11 papers
Synthetic Buildings for Finite Groups
Emily Gullerud, Peter Webb
We introduce synthetic buildings for each finite group and prime . These are -simplicial complexes, among which are the -subgroups complex of K.S. Brown, and also the…
The Auslander-Reiten quiver of perfect complexes for a self-injective algebra
Peter Webb
We consider the homotopy category of perfect complexes for a finite dimensional self-injective algebra over a field, identifying many aspects of perfect complexes according to thei…
Biset functors for categories
Peter Webb
We introduce the theory of biset functors defined on finite categories. Previously, biset functors have been defined on groups, and in that context they are closely related to Mack…
Young Modules and Schur algebras
Moriah Elkin, Peter Webb
We compute explicitly the submodule structure of the Young modules for symmetric groups over fields of characteristic 2, when . We use this information to compute th…
Bilinear forms on Grothendieck groups of triangulated categories
Peter Webb
We extend the theory of bilinear forms on the Green ring of a finite group developed by Benson and Parker to the context of the Grothendieck group of a triangulated category with A…
The bounded derived category of a poset
Kosmas Diveris, Marju Purin, Peter Webb
We introduce a new combinatorial condition on a subinterval of a poset P (a clamped subinterval) that allows us to relate the Auslander-Reiten quiver of the bounded derived categor…