University of Birmingham > Talks@bham > Algebra seminar  > Decomposing Generalised Gelfand–Graev Representations (GGGRs)

Decomposing Generalised Gelfand–Graev Representations (GGGRs)

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If you have a question about this talk, please contact David Craven.

Assume G is a finite reductive group defined over a field of good characteristic. In 1986 Kawanaka introduced a family of (ordinary) representations of G called GGG Rs. These are indexed by the unipotent conjugacy classes of G and elucidate an interesting, and somewhat surprising, relationship between the unipotent conjugacy classes and the irreducible characters of G. In this talk we discuss a programme concerned with determining the decomposition of the GGG Rs into irreducible characters. Such information should help us to further levy the interesting relationship between conjugacy classes and characters.

This talk is part of the Algebra seminar series.

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