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

2010/08/13 by Tom Denton, Denton, Tom
Chemistry · Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Molecular spectroscopy and chirality #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1008.2401

25 pages, 2 figures

arxiv created 2010/08/13 · openalex publication_date 2010/08/13 · arxiv updated 2010/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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(S_N). This construction is compatible with the branching from S_N-1 to S_N.

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