On tangential properties of the Gutt \(*\)-product

DOI10.1016/S0393-0440(96)00038-1zbMath0891.17019MaRDI QIDQ1377233

Santos Asin Lares

Publication date: 21 July 1998

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Lie algebracoadjoint orbitGutt star producttangential properties

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Deformation quantization, star products (53D55)

Related Items (1)

D-branes on group manifolds and deformation quantization

Cites Work

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• The local structure of Poisson manifolds
• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Weyl manifolds and deformation quantization
• Regular * representations of Lie algebras
• An explicit *-product on the cotangent bundle of a Lie group
• Tangential formal deformations of the Poisson bracket and tangential star products on a regular Poisson manifold
• Deformation theory and quantization. II: Physical applications
• A simple geometrical construction of deformation quantization
• Deformations on coadjoint orbits
• On tangential star products for the coadjoint Poisson structure
• On the deformation of rings and algebras
• N-step nilpotent Lie groups with flat Kirillov orbits
• Uniform convergence and decay of Fourier series on compact nilmanifolds

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