General poisson algebras
Grabowski, Janusz
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Grabowski, Janusz
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Grabowski, Janusz
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Yvette Kosmann-Schwarzbach, Franco Magri (1990)
Annales de l'I.H.P. Physique théorique
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Johannes Huebschmann (2000)
Banach Center Publications
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Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR algebra", which is a true twilled LR-algebra iff the almost complex structure is integrable. We characterize twilled LR structures in terms of certain associated differential (bi)graded Lie and G(erstenhaber)-algebras; in particular the G-algebra arising from an almost complex structure is a (strict) d(ifferential)...
Marc De Wilde, Pierre B. A. Lecomte (1982)
Commentationes Mathematicae Universitatis Carolinae
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Kenny De Commer (2015)
Banach Center Publications
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On the level of Lie algebras, the contraction procedure is a method to create a new Lie algebra from a given Lie algebra by rescaling generators and letting the scaling parameter tend to zero. One of the most well-known examples is the contraction from 𝔰𝔲(2) to 𝔢(2), the Lie algebra of upper-triangular matrices with zero trace and purely imaginary diagonal. In this paper, we will consider an extension of this contraction by taking also into consideration the natural bialgebra structures...