Canonical bases of higher-level q-deformed Fock spaces and Kazhdan-Lusztig polynomials

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dc.creatorUglov, Denis
dc.date1999-05-31
dc.date.accessioned2026-07-07T05:29:18Z
dc.date.available2026-07-07T05:29:18Z
dc.descriptionThe aim of this paper is to generalize several aspects of the recent work of Leclerc-Thibon and Varagnolo-Vasserot on the canonical bases of the level 1 q-deformed Fock spaces due to Hayashi. Namely, we define canonical bases for the higher-level q-deformed Fock spaces of Jimbo-Misra-Miwa-Okado and establish a relation between these bases and (parabolic) Kazhdan-Lusztig polynomials for the affine Weyl group of type $A^{(1)}_{r-1}.$ As an application we derive an inversion formula for a sub-family of these polynomials. This article is an extended version of math.QA/9901032
dc.descriptionLaTeX2e, 53 pages
dc.identifierhttps://arxiv.org/abs/math/9905196
dc.identifierhttp://arxiv.org/abs/math/9905196
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78586
dc.subjectQuantum Algebra
dc.titleCanonical bases of higher-level q-deformed Fock spaces and Kazhdan-Lusztig polynomials
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