Dunkl operators as covariant derivatives in a quantum principal bundle

DOI10.3842/SIGMA.2013.040zbMath1282.81117arXiv1108.3769MaRDI QIDQ352522

Stephen Bruce Sontz, Micho Đurđevich

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3769

zbMATH Keywords

Coxeter groupsquantum principal bundleDunkl operatorsquantum connectionquantum curvature

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Geometric quantization (53D50)

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Dunkl operators for arbitrary finite groups

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