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Blocks of finite group algebras I

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GRAW01 - Introductory/instructional workshop

This is the first of two introductory talks on the modular representation theory of finite group algebras. After briefly introducing p-modular systems, we will review basic properties of algebras over complete discrete valuations rings as far as needed to describe some of the classic material on blocks of finite group algebras, much of which is due to Brauer and Green. This includes the notions of defect groups, the Brauer correspondence, relative projectivity, and the Green correspondence. We describe how to associate fusion systems to blocks, based on work of Alperin and Broue.

This talk is part of the Isaac Newton Institute Seminar Series series.

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