General linear and functor cohomology over finite fields

Abstract

In recent years, there has been considerable success in computing Ext-groups of modular representations associated to the general linear group by relating this problem to one of computing Ext-groups in functor categories. In this paper, we extend our ability to make such Ext-group calculations by establishing several fundamental results. Throughout this paper, we work over fields of positive characteristic p.

66 pages, published version, abstract added in migration

Cited by in corpus (2)

• Extension between functors from groups
• Ext-groups in the Category of Strict Polynomial Functors