Representations of the compact quantum group \(SU_ q (2)\) and geometrical quantization

DOI10.1007/BF01016754zbMath0857.17015arXivhep-th/9306128MaRDI QIDQ1920709

Gleb E. Arutyunov

Publication date: 11 March 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9306128

zbMATH Keywords

Poisson-Lie groupalgebra of functionscompact quantum group \(SU_ q(2)\)geometrical quantizationinfinite-dimensional irreducible unitary representationsquantum group \(SU_ q(n)\)Souriau-Kostant method

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Geometric quantization (53D50)

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Poisson manifolds and the Schouten bracket
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Dressing transformations and Poisson group actions

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