Tom Denton
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A Combinatorial Formula for Orthogonal Idempotents in the 0-Hecke Algebra of SN
dmtcs:2821 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2010,
DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)
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https://doi.org/10.46298/dmtcs.2821
A Combinatorial Formula for Orthogonal Idempotents in the 0-Hecke Algebra of SNConference paper
Authors: Tom Denton 1
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Tom Denton
1 Department of Mathematics [Univ California Davis]
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, CH0(SN). This construction is compatible with the branching from H0(SN−1) to H0(SN).