A q-analogue of an identity of N. Wallach

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dc.creatorLusztig, G.
dc.date2003-11-11
dc.date.accessioned2026-07-07T05:02:47Z
dc.date.available2026-07-07T05:02:47Z
dc.descriptionN.Wallach has considered an element of the group algebra of the symmetric group S_n which is the sum of an n-cycle, an (n-1)-cycle,...,a 2-cycle and the identity. He showed that multiplication by this element has eigenvalues 0,1,2,...,n-2,n. We prove a q-analogue of this result in which the group algebra of S_n is replaced by the corresponding Hecke algebra.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0311158
dc.identifierhttp://arxiv.org/abs/math/0311158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69145
dc.subjectQuantum Algebra
dc.titleA q-analogue of an identity of N. Wallach
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