On Lusztig's Classification of Irreducible Representations of Finite Groups of Lie Type

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• Jay Taylor, Aberdeen
• Friday 19 February 2010, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Chris Bowman.

In the mid 80’s Lusztig found a concrete method for classifying the ordinary irreducible representations of a finite reductive group and obtaining the dimensions of the representations. This classification was achieved by: first splitting the irreducible representations up into so called Lusztig series, then parameterising the representations in each Lusztig series by irreducible representations of Weyl groups. We discuss Lusztig’s method of classification and the problems that arise when the ambient connected reductive algebraic group has a disconnected centre.

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

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