Differential cohomology of \(C^\infty ({\mathfrak G}^*)\)
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Publication:1825264
DOI10.1016/0393-0440(87)90002-7zbMath0684.17007OpenAlexW2063551085WikidataQ115363171 ScholiaQ115363171MaRDI QIDQ1825264
Publication date: 1987
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0393-0440(87)90002-7
Poisson manifoldpolynomial functionssmooth functionsChevalley cohomologydifferentiable cohomologydual of Lie algebra
General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Cohomology of Lie (super)algebras (17B56)
Cites Work
- Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
- Regular * representations of Lie algebras
- An explicit *-product on the cotangent bundle of a Lie group
- *-products in the method of orbits for nilpotent groups
- Déformations d'algèbres associées à une variété symplectique (les \(*_\nu\)-produits)
- Structures of Lie algebra that have the locality property
- Déformation du crochet de Poisson sur une variété symplectique
- Deformation theory and quantization. II: Physical applications
- Nilpotent Fourier transform and applications
- Deformations on coadjoint orbits
- Variétés de Poisson et feuilletages
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