Algebraic deformation program on minimal nilpotent orbit

DOI10.1007/BF00805856zbMath0805.17009MaRDI QIDQ1318319

Hédi Ben Amor, Benjamin Cahen, Didier Arnal

Publication date: 5 February 1995

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

zbMATH Keywords

irreducible representationPoisson bracketsymmetric algebrasimple complex Lie algebragraded star product

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Solvable, nilpotent (super)algebras (17B30)

Related Items (4)

Star products for SL(2) ⋮ Higher symmetries of the Laplacian via quantization ⋮ Minimal realizations of classical simple Lie algebras through deformations ⋮ Non-local equivariant star product on the minimal nilpotent orbit

Cites Work

• Représentations \({}^*\) des groupes exponentiels. \((^*\)- representations of exponential groups)
• Unipotent representations of complex semisimple groups
• Some ideas about quantization
• Deformation theory and quantization. II: Physical applications
• Nilpotent Fourier transform and applications
• Deformations on coadjoint orbits
• Harmonic Analysis in Phase Space. (AM-122)
• Representations of semisimple groups associated to nilpotent orbits
• The minimal orbit in a simple Lie algebra and its associated maximal ideal
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