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Compact Hermitian Young Projection Operators

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arxiv 1610.10088 v2 pith:JUINBRYR submitted 2016-10-27 math-ph hep-phmath.MP

classification math-phhep-phmath.MP
keywords youngoperatorsprojectionhermitianalgorithmcompactkeppelerodahl
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In this paper, we describe a compact and practical algorithm to construct Hermitian Young projection operators for irreducible representations of the special unitary group SU(N), and discuss why ordinary Young projection operators are unsuitable for physics applications. The proof of this construction algorithm uses the iterative method described by Keppeler and Sj\"odahl. We further show that Hermitian Young projection operators share desirable properties with Young tableaux, namely a nested hierarchy when "adding a particle". We end by exhibiting the enormous advantage of the Hermitian Young projection operators constructed in this paper over those given by Keppeler and Sj\"odahl.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An $N$-independent tensor decomposition for SU($N$)

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A new column-based Littlewood-Richardson algorithm decomposes products of SU(N) representations labeled by Young diagram pairs, valid simultaneously for all N.

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