Representations of Algebras and Related Topics

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pp: 189–250

DOI: 10.4171/101-1/6

Cohomology of block algebras of finite groups

Markus Linckelmann[1]

(1) City University, London, United Kingdom

Block algebras are algebras which arise as indecomposable direct factors of finite group algebras, where we choose as a base ring an algebraically closed field k of prime characteristic p. The purpose of the present notes is to describe some connections between invariants of the module categories of block algebras and of their associated fusion systems, with a particular emphasis on cohomological invariants.

Keywords: Cohomology, block