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Modular representations of gl_n

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  • UserSimon Goodwin, Birmingham
  • ClockWednesday 18 November 2015, 16:30-17:30
  • HouseMR12.

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

Finite dimensional representations of simple Lie algebras over the complex numbers have been well understood for a long time. However, the representation theory of of Lie algebras of simple algebraic groups over field of positive characteristic is less well understood. We’ll start by surveying the known theory of modular representations of simple Lie algebras including reduced enveloping algebras before explaining Premet’s approach via W-algebras. We’ll focus of the case of the general linear Lie algebra gl_n, and in this case explain joint work with Lewis Topley in which we have classified the minimal dimensional modules for reduced enveloping algebras.

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

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