A new integral basis for the centre of the Hecke algebra of type A

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dc.creatorFrancis, Andrew
dc.creatorJones, Lenny
dc.date2007-05-11
dc.date.accessioned2026-07-07T08:00:54Z
dc.date.available2026-07-07T08:00:54Z
dc.descriptionWe describe a recursive algorithm that produces an integral basis for the centre of the Hecke algebra of type A consisting of linear combinations of monomial symmetric polynomials of Jucys--Murphy elements. We also discuss the existence of integral bases for the centre of the Hecke algebra that consist solely of monomial symmetric polynomials of Jucys--Murphy elements. Finally, for n=3, we show that only one such basis exists for the centre of the Hecke algebra, by proving that there are exactly four bases for the centre of the corresponding symmetric group algebra which consist solely of monomial symmetric polynomials of Jucys--Murphy elements.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0705.1581
dc.identifierhttp://arxiv.org/abs/0705.1581
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128794
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject20C08 (primary), 20C05, 16S34, 20B30, 20C30 (secondary)}
dc.titleA new integral basis for the centre of the Hecke algebra of type A
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