University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Irreducible subgroups of algebraic groups

Irreducible subgroups of algebraic groups

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  • UserAdam Thomas (Imperial)
  • ClockWednesday 23 October 2013, 16:30-17:30
  • HouseMR12.

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

Abstract: A subgroup of a semisimple algebraic group G is said to be G-irreducible if it lies in no proper parabolic subgroup of G. A result of Liebeck and Testerman shows that connected G-irreducible subgroups are nearly maximal and therefore interesting to study. Work of Stewart, Amende and Liebeck-Seitz gives some partial results on simple connected G-irreducible subgroups for G an exceptional algebraic group. I will discuss recent work I have done in classifying all connected G-irreducible subgroups, up to conjugacy, in all characteristics. This classification gives us the ‘lattice’ structure of the connected G-irreducible subgroups. I will also discuss some corollaries of this structure as well as future work.

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

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