Cohomology and deformation of Leibniz pairs
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Publication:1900447
DOI10.1007/BF00739377zbMath0844.17015arXivq-alg/9502006OpenAlexW2003361554WikidataQ122918117 ScholiaQ122918117MaRDI QIDQ1900447
Murray Gerstenhaber, Moshé Flato, Alexander A. Voronov
Publication date: 21 February 1996
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9502006
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Cohomology of Lie (super)algebras (17B56)
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Cites Work
- A Hodge-type decomposition for commutative algebra cohomology
- Closed star products and cyclic cohomology
- Deformation theory and quantization. I: Deformations of symplectic structures
- Universal deformation formulas and breaking symmetry
- Lectures on the geometry of Poisson manifolds
- The hidden group structure of quantum groups: Strong duality, rigidity and preferred deformations
- Koszul duality for operads
- On the deformation of rings and algebras. IV
- The cohomology structure of an associative ring
- On the deformation of rings and algebras
- Bialgebra cohomology, deformations, and quantum groups.
- Noncommutative Poisson Algebras
- Differential Forms on General Commutative Algebras
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