Function theory on a \(q\)-analog of complex hyperbolic space

DOI10.1016/J.GEOMPHYS.2011.07.002zbMath1244.81032arXiv1009.6063OpenAlexW2963566752MaRDI QIDQ413708

Olga Bershtein, Sergey D. Sinelshchikov

Publication date: 7 May 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.6063

zbMATH Keywords

hyperbolic spacesquantum groupsgeometric realizations of representations of real Lie groupsnon-commutative complex analysis

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Cites Work

• Distributions spheriques sur les espaces hyperboliques
• The Plancherel formula for line bundles on complex hyperbolic spaces
• SPHERICAL FUNCTIONS ON HYPERBOLOIDS
• FOCK REPRESENTATIONS AND QUANTUM MATRICES
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