Posets in representation theory

Hans Wenzl

University of Oregon

May 9,
refreshments at 3:45pm


The decomposition of tensor products of an irreducible representation with the standard representation of a classical Lie group can be easily described via Young tableau combinatorics. In particular, this induces a partial order on the representations of classical Lie groups. It is fairly straightforward to define similar partial orders via other representations or for other Lie groups. We present examples for which this can be done again via some tableau combinatorics. This includes an example coming from exceptional Lie algebras which is related to Deligne's conjectured exceptional series.

Most of the talk does not assume any knowledge of Lie theory and should be accessible to students.

Speaker's Contact Info: wenzl(at-sign)euclid.ucsd.edu

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

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