On the representations of the infinite symmetric group

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dc.creatorOkounkov, Andrei
dc.date1998-03-11
dc.date.accessioned2026-07-07T05:24:03Z
dc.date.available2026-07-07T05:24:03Z
dc.descriptionWe classify all irreducible admissible representations of three Olshanski pairs connected to the infinite symmetric group. In particular, our methods yield two simple proofs of the classical Thoma's description of the characters of the infinite symmetric group. Also, we discuss a certain operation called mixture of representations which provides a uniform construction of all irreducible admissible representations.
dc.descriptionMy PhD thesis (1995). AMS TeX, 50 pages, 9 eps figures
dc.identifierhttps://arxiv.org/abs/math/9803037
dc.identifierhttp://arxiv.org/abs/math/9803037
dc.identifierZapiski Nauchnyh Seminarov POMI, 240 (1997), 167--230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76686
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleOn the representations of the infinite symmetric group
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