Explicit star products on orbits of nilpotent Lie groups with square integrable representations

DOI10.1063/1.2739305zbMath1144.81385OpenAlexW1992239674WikidataQ115333578 ScholiaQ115333578MaRDI QIDQ3529813

Jean-Marie Maillard

Publication date: 14 October 2008

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

Full work available at URL: https://doi.org/10.1063/1.2739305

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Deformation quantization, star products (53D55)

Related Items (5)

Transference for Banach space representations of nilpotent Lie groups. II. Pedersen multipliers ⋮ Algebras of symbols associated with the Weyl calculus for Lie group representations ⋮ Logarithmic intertwining operators and vertex operators ⋮ Modulation spaces of symbols for representations of nilpotent Lie groups ⋮ Uncertainty principles for magnetic structures on certain coadjoint orbits

Cites Work

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• An explicit *-product on the cotangent bundle of a Lie group
• *-products in the method of orbits for nilpotent groups
• Deformation theory and quantization. II: Physical applications
• Kontsevich star product on the dual of a Lie algebra
• On the twisted convolution product and the Weyl transformation of tempered distributions
• Tangential deformations on the dual of nilpotent special Lie algebras
• Lie Group Convolution Algebras as Deformation Quantizations of Linear Poisson Structures
• Square Integrable Representations of Nilpotent Groups

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