Notes on affine canonical and monomial bases

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dc.creatorLi, Yiqiang
dc.date2006-10-14
dc.date2007-04-02
dc.date.accessioned2026-07-07T07:54:58Z
dc.date.available2026-07-07T07:54:58Z
dc.descriptionWe investigate the affine canonical basis and the monomial basis constructed in [LXZ] in Lusztig's geometric setting. We show that the transition matrix between the two bases is upper triangular with 1's in the diagonal and coefficients in the upper diagonal entries in N[v, v^{-1}]. As a consequence, we show that part of the monomial basis elements give rise to resolutions of support varieties of the affine canonical basis elements as simple perverse sheaves.
dc.description24 pages. Title changed. The relation with Nakajima's conjecture clarified.
dc.identifierhttps://arxiv.org/abs/math/0610449
dc.identifierhttp://arxiv.org/abs/math/0610449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126812
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B37, 16G20
dc.titleNotes on affine canonical and monomial bases
dc.typetext

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