The Howe duality and the Projective Representations of Symmetric Groups

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dc.creatorSergeev, Alexander
dc.date1998-10-27
dc.date.accessioned2026-07-07T05:26:36Z
dc.date.available2026-07-07T05:26:36Z
dc.descriptionThe symmetric group S_n possesses a nontrivial central extension, whose irreducible representations, different from the irreducible representations of S_n itself, coincide with the irreducible representations of a certain algebra A_n. Recently M.~Nazarov realized irreducible representations of A_n and Young symmetrizers by means of the Howe duality between the Lie superalgebra q(n) and the Hecke algebra H_n, the semidirect product of S_n with the Clifford algebra C_n on n indeterminates. Here I construct one more analog of Young symmetrizers in H_n as well as the analogs of Specht modules for A_n and H_n.
dc.description9 p., Latex
dc.identifierhttps://arxiv.org/abs/math/9810148
dc.identifierhttp://arxiv.org/abs/math/9810148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77607
dc.subjectRepresentation Theory
dc.subject20C30 (Primary) 20C25, 17A70 (Secondary)
dc.titleThe Howe duality and the Projective Representations of Symmetric Groups
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