General poisson algebras
Grabowski, Janusz
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Displaying similar documents to “The Frölicher-Nijenhuis bracket in non-commutative differential geometry.”
General poisson algebras
Universal -differential calculus and -analog of homological algebra.
Dubois-Violette, M., Kerner, R. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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From Poisson algebras to Gerstenhaber algebras
Yvette Kosmann-Schwarzbach (1996)
Annales de l'institut Fourier
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Constructing an even Poisson algebra from a Gerstenhaber algebra by means of an odd derivation of square 0 is shown to be possible in the category of Loday algebras (algebras with a non-skew-symmetric bracket, generalizing the Lie algebras, heretofore called Leibniz algebras in the literature). Such “derived brackets” give rise to Lie brackets on certain quotient spaces, and also on certain Abelian subalgebras. The construction of these derived brackets explains the origin of the Lie...
On commutation relations for 3-graded Lie algebras.
de Oliveira, M.P. (2001)
The New York Journal of Mathematics [electronic only]
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Remarks on the Schouten-Nijenhuis bracket
Michor, Peter W.
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Deformation Theory (Lecture Notes)
M. Doubek, Martin Markl, Petr Zima (2007)
Archivum Mathematicum
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First three sections of this overview paper cover classical topics of deformation theory of associative algebras and necessary background material. We then analyze algebraic structures of the Hochschild cohomology and describe the relation between deformations and solutions of the corresponding Maurer-Cartan equation. In Section we generalize the Maurer-Cartan equation to strongly homotopy Lie algebras and prove the homotopy invariance of the moduli space of solutions of this equation....