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An introduction to modular representation theory

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  • UserAmit Hazi University of Cambridge
  • ClockFriday 22 November 2013, 15:00-16:00
  • HouseCMS, MR5.

If you have a question about this talk, please contact Julian Brough.

Modular representation theory attempts to describe the representations of a finite group G when the characteristic p of the field divides |G|. In this situation, Maschke’s theorem fails completely, meaning that a representation is not always isomorphic to a direct sum of irreducibles. In this talk I’ll discuss how one can even begin understanding the representations in the modular case by extending the notion of projectivity to relative projectivity. Some of the tools we use will be from general non-commutative algebra, but a few of the more powerful results work due to the existence of local structure on G (i.e. the p-subgroups and their normalizers).

This talk is part of the Junior Algebra and Number Theory seminar series.

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