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Irreducible representations of restricted Lie algebras

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If you have a question about this talk, please contact Lewis Topley.

In this talk, we recall the notions of [p]-mapping and restricted Lie algebras over an algebraically closed field in positive characteristic. We will present the first Kac-Weisfeiler conjecture (KW1), which gives a bound on the maximal dimension of the irreducible representations of finite-dimensional restricted Lie algebras. We will explain what we already know about KW1 and our current progress, as we aim to prove KW1 for Lie algebras of algebraic groups with some assumptions on the characteristic of the field.

This talk is part of the Algebra seminar series.

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