A duality of the twisted group algebra of the symmetric group and a Lie superalgebra

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dc.creatorYamaguchi, Manabu
dc.date1998-11-13
dc.date1998-11-27
dc.date.accessioned2026-07-07T05:26:52Z
dc.date.available2026-07-07T05:26:52Z
dc.descriptionLet A_k denote the twisted group algebra of the symmetric group S_k, whose representations correspond to the nonlinear projective representations of S_k. We establish a duality relation between A_k and a Lie superalgebra q(n), sometimes called the ``queer'' Lie superalgebra. This duality clarifies Schur's formula, in the sense that the Schur-Weyl duality clarifies Frobenius' formula.
dc.descriptionAMS-TeX, 22 pages, submitted to Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/9811090
dc.identifierhttp://arxiv.org/abs/math/9811090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77714
dc.subjectRepresentation Theory
dc.titleA duality of the twisted group algebra of the symmetric group and a Lie superalgebra
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