Regular * representations of Lie algebras

DOI10.1007/BF00419321zbMath0522.58018OpenAlexW1972973782MaRDI QIDQ1056109

Simone Gutt, Michel Cahen

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00419321

zbMATH Keywords

Hochschild cohomologysymplectic transformationsstar-productscotangent bundle of a parallelizable manifold

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lie algebras of Lie groups (22E60) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Geometric quantization (53D50)

Related Items (17)

Characterization of Lie groups on the cotangent bundle of a Lie group ⋮ Geodesic symmetries and invariant star products on Kähler symmetric spaces ⋮ Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds ⋮ On tangential properties of the Gutt \(*\)-product ⋮ Homogeneous star products and closed integral formulas ⋮ Poisson action and formality ⋮ Weyl symbolic calculus on any Lie group ⋮ Nilpotent Fourier transform and applications ⋮ *-products on some Kähler manifolds ⋮ Invariant star products and representations of compact semisimple Lie groups ⋮ Differential cohomology of \(C^\infty ({\mathfrak G}^*)\) ⋮ Star-products on cotangent bundles ⋮ Existence of star-products on exact symplectic manifolds ⋮ An explicit *-product on the cotangent bundle of a Lie group ⋮ Compatible symplectic connections on a cotangent bundle and the Fedosov quantization ⋮ Deformation quantization on the cotangent bundle of a Lie group ⋮ Deformation theory applied to quantization and statistical mechanics

Cites Work

• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• Construction of twisted products for cotangent bundles of classical groups and Stiefel manifolds

This page was built for publication: Regular * representations of Lie algebras