Geometrical theory of contractions of groups and representations

DOI10.1063/1.524123zbMath0415.22014OpenAlexW2069142970MaRDI QIDQ3050651

Didier Arnal, J. C. Cortet

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524123

zbMATH Keywords

contractionLie groupssymplectic manifoldsrepresentationsLie algebrasPoisson algebrasspin systemsDirac constraints

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (6)

Quantum groups and deformation quantization: Explicit approaches and implicit aspects ⋮ Geometric algebra and star products on the phase space ⋮ Simple orthogonal and unitary compact quantum systems and the İnönü–Wigner contraction ⋮ Expansions of algebras and superalgebras and some applications ⋮ Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity ⋮ Star representations of E(2)

Cites Work

• Deformation theory and quantization. I: Deformations of symplectic structures
• Construction of twisted products for cotangent bundles of classical groups and Stiefel manifolds

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