Dunkl operators for arbitrary finite groups

DOI10.1007/s43036-020-00124-zOpenAlexW3135561474MaRDI QIDQ2025772

Micho Đurđevich, Stephen Bruce Sontz

Publication date: 17 May 2021

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01356

zbMATH Keywords

finite groupsDunkl operatorsquantum principal bundles

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Linear operators on function spaces (general) (47B38)

Cites Work

• Dunkl operators as covariant derivatives in a quantum principal bundle
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• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Simple \(C^*\)-algebras generated by isometries
• Markov processes related with Dunkl operators
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Principal bundles. The quantum case
• Differential-Difference Operators Associated to Reflection Groups
• Geometry of Quantum Principal Bundles II
• DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS
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