University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Representations of reduced enveloping algebras for gl_n and restricted Yangians

Representations of reduced enveloping algebras for gl_n and restricted Yangians

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  • UserSimon Goodwin (Birmingham)
  • ClockWednesday 13 November 2019, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

Let g be the general linear Lie algebra over an algebraically closed field of positive characteristic. The crucial representations of g to understand are those associated to the reduced enveloping algebras U_e (g) for a nilpotent element e in g. We explain how the representations of U_e (g) can be studied via representations of restricted truncated shifted Yangians. Then we present some consequences, in particular to the case where e is a two-row nilpotent.

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

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