A Combinatorial Formula for Orthogonal Idempotents in the 0-Hecke Algebra of the Symmetric Group
Abstract
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 SN-1 to SN.
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