A New Approach to the Representation Thoery of the Symmetric Groups. 2

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dc.creatorVershik, A. M.
dc.creatorOkounkov, A. Yu.
dc.date2005-03-02
dc.date2005-04-20
dc.date.accessioned2026-07-07T05:17:36Z
dc.date.available2026-07-07T05:17:36Z
dc.descriptionThe new approach to the theory of complex representrations of the finite symmetric groups which based on the notions of Coxeter generators., Gelfand-Zetlin algebras, Hecke algebra, Young-Jucys-Murphi generators and which hardly used inductive structure - is systematically developed. The appearence of Young diagrams, tables is naturally explained - the set of content vectors of all Young tables is the spectra of Gel'fand-Zetlin algebra. The first steps of the theory (the list of the irrediucible representatinos, branching rule, Young orthopgonal form, Murnagan-Nakayama rule etc.)are established.This appraoch canbe used for other classical series, wreath products with symmetric groups. This paper is the revcised version of the paper of the same authors which was published in Selecta MAth. (New Series) V.2(1996).
dc.description25p
dc.identifierhttps://arxiv.org/abs/math/0503040
dc.identifierhttp://arxiv.org/abs/math/0503040
dc.identifierZapiski Seminarod POMI (In Russian) v.307, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74366
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject05E05, 81R05
dc.titleA New Approach to the Representation Thoery of the Symmetric Groups. 2
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