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### A Combinatorial Formula for Orthogonal Idempotents in the 0-Hecke Algebra of the Symmetric Group

Algebra & Discrete Mathematics

 Speaker: Tom Denton, UC Davis Location: 1147 MSB Start time: Fri, Sep 24 2010, 2:10PM

Building on the work of P.N. Norton, we give combinatorial formulae for two maximal decompositions of the identity into orthogonal idempotents in the 0-Hecke algebra of the symmetric group, C H_0(S_N). This construction is compatible with the branching from S_{N-1} to S_N.

This talk is based on the preprint arXiv:1008.2401