Braided differential structure on Weyl groups, quadratic algebras and elliptic functions

Simple item page
dc.creatorKirillov, Anatol N.
dc.creatorMaeno, Toshiaki
dc.date2007-09-28
dc.date2007-10-01
dc.date.accessioned2026-07-07T08:32:54Z
dc.date.available2026-07-07T08:32:54Z
dc.descriptionWe discuss a class of generalized divided difference operators which give rise to a representation of Nichols-Woronowicz algebras associated to Weyl groups. For the root system of type $A,$ we also study the condition for the deformations of the Fomin-Kirillov quadratic algebra, which is a quadratic lift of the Nichols-Woronowicz algebra, to admit a representation given by generalized divided difference operators. The relations satisfied by the mutually commuting elements called Dunkl elements in the deformed Fomin-Kirillov algebra are determined. The Dunkl elements correspond to the truncated elliptic Dunkl operators via the representation given by the generalized divided difference operators.
dc.identifierhttps://arxiv.org/abs/0709.4599
dc.identifierhttp://arxiv.org/abs/0709.4599
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138942
dc.subjectQuantum Algebra
dc.titleBraided differential structure on Weyl groups, quadratic algebras and elliptic functions
dc.typetext

Files

Collections

arXiv