Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle

A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle. The covariant derivatives associated to this connection are the Dunkl operators, originally introduced as part of a program to gen...

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Bibliographic Details
Main Authors: Micho Đurđevich, Stephen Bruce Sontz
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-05-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.040