Covariant q-differential operators and unitary highest weight representations for Uqsun,n

DOI10.1063/1.1927077zbMath1110.17006arXivmath/0508169OpenAlexW3099045342MaRDI QIDQ3438463

Genkai Zhang, Dmitry Shklyarov

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508169

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) Abstract harmonic analysis (43A99) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (3)

Algebras of variable coefficient quantized differential operators ⋮ U_q (sl_2)-Symmetries of the Quantum Disc: a Complete List ⋮ Determinantal ideals and the canonical commutation relations: classically or quantized

Cites Work

• Unnamed Item
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• Hermitian symmetric spaces and their unitary highest weight modules
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• On \(q\)-analogues of bounded symmetric domains and Dolbeault complexes
• A triple product identity for Schur functions
• Wave and Dirac operators, and representations of the conformal group
• Differential operators, holomorphic projection, and singular forms
• Unitarity of highest-weight modules for quantum groups
• Minimal affinizations of representations of quantum groups: The rank 2 case
• Function spaces and reproducing kernels on bounded symmetric domains
• Subsingular vectors and conditionally invariant (q-deformed) equations
• Hidden symmetry of the differential calculus on the quantum matrix space

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