Super duality and Kazhdan-Lusztig polynomials

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dc.creatorCheng, Shun-Jen
dc.creatorWang, Weiqiang
dc.creatorZhang, R. B.
dc.date2004-09-01
dc.date2006-10-10
dc.date.accessioned2026-07-07T09:51:55Z
dc.date.available2026-07-07T09:51:55Z
dc.descriptionWe establish a direct connection between the representation theories of Lie algebras and Lie superalgebras (of type A) via Fock space reformulations of their Kazhdan-Lusztig theories. As a consequence, the characters of finite-dimensional irreducible modules of the general linear Lie superalgebra are computed by the usual parabolic Kazhdan-Lusztig polynomials of type A. In addition, we establish closed formulas for canonical and dual canonical bases for the tensor product of any two fundamental representations of type A.
dc.descriptionv.2, substantially revised and streamlined, title modified, 45 pages
dc.identifierhttps://arxiv.org/abs/math/0409016
dc.identifierhttp://arxiv.org/abs/math/0409016
dc.identifierTrans. AMS 360 (2008), 5883--5924.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165413
dc.subjectRepresentation Theory
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleSuper duality and Kazhdan-Lusztig polynomials
dc.typetext

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