Noncommutative dynamical models with quantum symmetries

DOI10.1007/S10440-008-9201-YzbMath1144.17008OpenAlexW2004123085MaRDI QIDQ941641

Antoine Dutriaux, Dimitri Gurevich

Publication date: 2 September 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9201-y

zbMATH Keywords

quantum groupVerma modulesreflection equation algebraCayley-Hamilton identity\(q\)-Minkowski space algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (1)

Wave operators on quantum algebras via noncanonical quantization

Cites Work

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• Deformation theory and quantization. I: Deformations of symplectic structures
• Hecke symmetries and characteristic relations on reflection equation algebras
• Deformation quantization of Poisson manifolds
• Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type
• Generalized Lie algebras of type An
• REDUCTION AND UNFOLDING FOR QUANTUM SYSTEMS: THE HYDROGEN ATOM

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