FOCK REPRESENTATIONS AND QUANTUM MATRICES

DOI10.1142/S0129167X04002600zbMath1090.17007arXivmath/0410605OpenAlexW2055575002MaRDI QIDQ4652891

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Publication date: 28 February 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410605

zbMATH Keywords

quantum groupsFock representationbounded symmetric domainnon-compact Hermitian symmetric spaces

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) Noncommutative function spaces (46L52)

Related Items (6)

De Rham complex for quantized irreducible flag manifolds ⋮ On a \(q\)-analog of the Wallach-Okounkov formula ⋮ Function theory on a \(q\)-analog of complex hyperbolic space ⋮ Maximum modulus principle for ``holomorphic functions on the quantum matrix ball ⋮ On \(\ast\)-representations of polynomial algebras in quantum matrix spaces of rank 2 ⋮ Shilov boundary for ``holomorphic functions on a quantum matrix ball

Cites Work

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• Some applications of the quantum Weyl groups
• Algebras of functions on compact quantum groups, Schubert cells and quantum tori
• Twisted second quantization
• The diamond lemma for ring theory
• Localization for quantum groups
• Braided tensor categories
• Algebra of functions on the quantum group SU(2)
• Minimal affinizations of representations of quantum groups: The rank 2 case
• Representations of aq-analogue of the *-algebra Pol(Mat_2,2)

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