132 citations · 1.9k across the 101 of their papers we have counts for
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Jacobi structures on affine bundles
J. Grabowski, D. Iglesias, J. C. Marrero +2
We study affine Jacobi structures on an affine bundle , i.e. Jacobi brackets that close on affine functions. We prove that there is a one-to-one correspondence between af…
Automorphisms of quantum and classical Poisson algebras
Janusz Grabowski, Norbert Poncin
We prove Pursell-Shanks type results for the Lie algebra D(M) of all linear differential operators of a smooth manifold M, for its Lie subalgebra D^1(M) of all linear first-order d…
On characterization of Poisson and Jacobi structures
Janusz Grabowski, Pawel Urbanski
We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of correspo…
The graded Jacobi algebras and (co)homology
Janusz Grabowski, Giuseppe Marmo
Jacobi algebroids (i.e. `Jacobi versions' of Lie algebroids) are studied in the context of graded Jacobi brackets on graded commutative algebras. This unifies varios concepts of gr…
The Lie algebra of a Lie algebroid
Janusz Grabowski, Katarzyna Grabowska
Results describing Lie ideals and maximal finite-codimensional Lie subalgebras of the Lie algebras associated with Lie algebroids with non-singular anchor maps are presented. It is…
Lie brackets on affine bundles
Janusz Grabowski, Katarzyna Grabowska, Pawel Urbanski
Natural analogs of Lie brackets on affine bundles are studied, based on natural examples from differential geometry and analytical mechanics. In particular, a close relation to Lie…