An algebraic approach to representations of the permutation group

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dc.creatorBergdolt, G.
dc.date2001-12-12
dc.date.accessioned2026-07-07T04:45:12Z
dc.date.available2026-07-07T04:45:12Z
dc.descriptionThe group algebra of the permutation group is spanned by a set of elements called projectors. The coordinates of permutations expanded in projectors are matrix elements of irreducible representations. The projectors of the permutation group are a product of a Young symmetriser and a Young antisymmetriser. They form non-orthogonal bases of right and left modules. The non-orthogonality is compensated by a constant matrix. It turns out that this reduces the matrix entries to -1, 0,+1. An algorithm to compute the projectors is given.
dc.identifierhttps://arxiv.org/abs/math/0112117
dc.identifierhttp://arxiv.org/abs/math/0112117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62874
dc.subjectGeneral Mathematics
dc.subjectGroup Theory
dc.titleAn algebraic approach to representations of the permutation group
dc.typetext

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