Basic Sets and Perfect Isometries

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• Jean-Baptiste Gramain (Aberdeen)
• Wednesday 14 February 2018, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Eugenio Giannelli.

Basic sets can be a powerful tool in modular representation theory of finite groups, sometimes helping in constructing Brauer characters or in reducing the problem of determining decomposition matrices.

In this talk, I will present some fairly old results on basic sets for the symmetric and alternating groups, and show how the methods and results can be generalised to the double Schur covers of these groups when the characteristic is odd. In all these groups, we exhibit basic sets by using perfect isometries between blocks of complex characters.

This is joint work with Olivier Brunat (Université Paris 7).

This talk is part of the Algebra and Representation Theory Seminar series.

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