Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras

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dc.creatorBerenstein, Arkady
dc.creatorBurman, Yurii
dc.date2005-05-10
dc.date2007-08-14
dc.date.accessioned2026-07-07T08:23:29Z
dc.date.available2026-07-07T08:23:29Z
dc.descriptionWe introduce and study deformations of finite-dimensional modules over rational Cherednik algebras. Our main tool is a generalization of usual harmonic polynomials for Coxeter groups -- the so-called quasiharmonic polynomials. A surprising application of this approach is the construction of canonical elementary symmetric polynomials and their deformations for all Coxeter groups.
dc.descriptionA key conjecture is proved, based on Pavel Etingof's idea (now it is Theorem 1.13). The Section 2 -- dihedral group case -- is simplified
dc.identifierhttps://arxiv.org/abs/math/0505173
dc.identifierhttp://arxiv.org/abs/math/0505173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136013
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleQuasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras
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