Identities for classical group characters of nearly rectangular shape

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dc.creatorKrattenthaler, Christian
dc.date1998-08-28
dc.date.accessioned2026-07-07T05:25:48Z
dc.date.available2026-07-07T05:25:48Z
dc.descriptionWe derive several identities that feature irreducible characters of the general linear, the symplectic, the orthogonal, and the special orthogonal groups. All the identities feature characters that are indexed by shapes that are "nearly" rectangular, by which we mean that the shapes are rectangles except for one row or column that might be shorter than the others. As applications we prove new results in plane partitions and tableaux enumeration, including new refinements of the Bender-Knuth and MacMahon (ex-)conjectures.
dc.description55 pages, AmS-TeX; to appear in J. Algebra
dc.identifierhttps://arxiv.org/abs/math/9808118
dc.identifierhttp://arxiv.org/abs/math/9808118
dc.identifierJ. Algebra 209 (1998), 1-64
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77323
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20G05 05E05 05E10 05E15 20C15 22E45
dc.titleIdentities for classical group characters of nearly rectangular shape
dc.typetext

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