Centers of degenerate cyclotomic Hecke algebras and parabolic category O

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dc.creatorBrundan, Jonathan
dc.date2006-07-27
dc.date2006-08-10
dc.date.accessioned2026-07-07T09:56:33Z
dc.date.available2026-07-07T09:56:33Z
dc.descriptionWe prove that the center of each degenerate cyclotomic Hecke algebra associated to the complex reflection group of type B_d(l) consists of symmetric polynomials in its commuting generators. The classification of the blocks of the degenerate cyclotomic Hecke algebras is an easy consequence. We then deduce that the center of an integral block of parabolic category O for the Lie algebra gl_n(C) is generated by the center of its universal enveloping algebra.
dc.description26 pages; v3: theorem 2 strengthened slightly to compute dimensions block by block
dc.identifierhttps://arxiv.org/abs/math/0607717
dc.identifierhttp://arxiv.org/abs/math/0607717
dc.identifierRepresent. Theory 12 (2008), 236-259.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167014
dc.subjectRepresentation Theory
dc.subject20C08; 17B20
dc.titleCenters of degenerate cyclotomic Hecke algebras and parabolic category O
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