Reducibility of the polynomial representation of the degenerate double affine Hecke algebra

Simple item page
dc.creatorEtingof, Pavel
dc.date2007-06-28
dc.date.accessioned2026-07-07T08:12:57Z
dc.date.available2026-07-07T08:12:57Z
dc.descriptionIn this note we determine the values of parameters c for which the polynomial representation of the degenerate double affine Hecke algebra (DAHA), i.e. the trigonometric Cherednik algebra, is reducible. Namely, we show that c is a reducibility point for the polynomial representation of the trigonometric Cherednik algebra for a root system R if and only if it is a reducibility point for the rational Cherednik algebra for the Weyl group of some root subsystem R' of R of the same rank; such subsystems for any R are given by the well known Borel-de Siebenthal algorithm. This result has been proved by Cherednik using a case-by-case method.
dc.description7 pages, latex
dc.identifierhttps://arxiv.org/abs/0706.4308
dc.identifierhttp://arxiv.org/abs/0706.4308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132637
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleReducibility of the polynomial representation of the degenerate double affine Hecke algebra
dc.typetext

Files

Collections

arXiv