Brundan-Kazhdan-Lusztig and super duality conjectures

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dc.creatorCheng, Shun-Jen
dc.creatorWang, Weiqiang
dc.date2007-05-01
dc.date2008-04-16
dc.date.accessioned2026-07-07T12:28:09Z
dc.date.available2026-07-07T12:28:09Z
dc.descriptionWe formulate a general super duality conjecture on connections between parabolic categories O of modules over Lie superalgebras and Lie algebras of type A, based on a Fock space formalism of their Kazhdan-Lusztig theories which was initiated by Brundan. We show that the Brundan-Kazhdan-Lusztig (BKL) polynomials for Lie superalgebra gl(m|n) in our parabolic setup can be identified with the usual parabolic Kazhdan-Lusztig polynomials. We establish some special cases of the BKL conjecture on the parabolic category O of gl(m|n)-modules and additional results which support the BKL conjecture and super duality conjecture.
dc.descriptionv2, 44 pages, mild changes, clarifications on Introduction and other places
dc.identifierhttps://arxiv.org/abs/0705.0050
dc.identifierhttp://arxiv.org/abs/0705.0050
dc.identifierPubl. RIMS 44 (2008), 1219--1272.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215445
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.titleBrundan-Kazhdan-Lusztig and super duality conjectures
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