The Howe duality and Lie superalgebras

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dc.creatorLeites, Dimitry
dc.creatorShchepochkina, Irina
dc.date2002-02-18
dc.date.accessioned2026-07-07T04:46:33Z
dc.date.available2026-07-07T04:46:33Z
dc.descriptionHowe's duality is considered from a unifying point of view based on Lie superalgebras. New examples are offered. In particular, we construct several simplest spinor-oscillator representations and compute their highest weights for the 'stringy' Lie superalgebras (i.e., Lie superalgebras of complex vector fields (or their nontrivial central extensions) on the supercircle $S^{1|n}$ and its two-sheeted cover associated with the Möbius bundle).
dc.description27 p., Latex
dc.identifierhttps://arxiv.org/abs/math/0202181
dc.identifierhttp://arxiv.org/abs/math/0202181
dc.identifierS. Duplij and J. Wess (eds.) Noncommutative structures in mathematics and physics. Proc. NATO Advanced Research Workshop, Kiev, 2000. Kluwer, 93-111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63372
dc.subjectRepresentation Theory
dc.subject22E45, 17B (Primary) 11E57, 15A72, 20G05, 22E47 (Secondary)
dc.titleThe Howe duality and Lie superalgebras
dc.typetext

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