University of Birmingham > Talks@bham > Algebra Seminar  >  Higher Modular Representations of Lie Algebras

Higher Modular Representations of Lie Algebras

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

In positive characteristic, a representation of an algebraic group G gives rise to a restricted representation of Lie(G). These restricted representations are more connected to the representation theory of the first Frobenius kernel of G – a certain infinitesimal group scheme – than that of G itself. In fact, one can form a family of associative algebras by deforming the distribution algebra of the first Frobenius kernel in some way, and the irreducible representation theory of these algebras totally captures the irreducible (not necessarily restricted) representations of Lie(G). It is this theory which will be explained during this talk, as well as a consideration of how the theory changes when we instead look at higher Frobenius kernels.

This talk is part of the Algebra Seminar series.

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