An associative algebra of functions on the orbits of nilpotent Lie groups

DOI10.1007/BF00408132zbMath0523.58018WikidataQ115395018 ScholiaQ115395018MaRDI QIDQ1056440

V. A. Lugo

Publication date: 1981

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

zbMATH Keywords

coadjoint orbitsMoyal star-productPoisson Lie subalgebraSchwartz space of functions

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Nilpotent and solvable Lie groups (22E25) Geometric quantization (53D50)

Related Items (7)

*-products in the method of orbits for nilpotent groups ⋮ Unnamed Item ⋮ A deformation of the \(*\)-product of Gutt on a reductive Lie algebra ⋮ Weyl symbolic calculus on any Lie group ⋮ Nilpotent Fourier transform and applications ⋮ Invariant star products and representations of compact semisimple Lie groups ⋮ An associative algebra of functions on the orbits of nilpotent Lie groups

Cites Work

• An associative algebra of functions on the orbits of nilpotent Lie groups
• Sur Les Représentations Unitaires Des Groupes De Lie Nilpotents. III

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