Star products for SL(2)

DOI10.1007/BF00403247zbMath0841.22007MaRDI QIDQ1906256

M. Yahyai, Didier Arnal

Publication date: 11 March 1996

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

zbMATH Keywords

Fourier transformLie algebradeformationcoadjoint orbitstar productsharmonic analysisuniversal covering groupunitary transformation\(SL(2,\mathbb{R})\)Plancherel transform

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70) Deformations of general structures on manifolds (58H15)

Related Items

Non-formal star-exponential on contracted one-sheeted hyperboloids

Cites Work

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• Star representations of E(2)
• Some ideas about quantization
• Deformation theory and quantization. II: Physical applications
• Algebraic deformation program on minimal nilpotent orbit
• Quantization of Kähler manifolds. III
• Invariant star products and representations of compact semisimple Lie groups
• Moyal product and representations of solvable Lie groups
• The Plancherel formula for the universal covering group of SL(R, 2)
• Analytic continuation of the irreducible unitary representations of the universal covering group of 𝑆𝐿(2,𝑅)