Related papers: Poisson-Lie Odd Bracket on Grassmann Algebra
This paper has been withdrawn by the authors. Because of a misunderstanding, the paper was submitted prematurely to the arXiv. A replacement will follow.
This article was withdrawn by the arXiv.org administrators since it plagiarizes math.AT/0401211.
This paper has been withdrawn by the author due to essential mistakes in some previous versions.
This paper has been withdrawn by the author because similar published work on the topic was overlooked. See S. Deser and A. Waldron, Nucl. Phys. B 631, 369-387 (2002).
This paper has been withdrawn by the author because there is a gap in Lemma 9.
The paper is withdrawn.
This paper has been withdrawn by the author(s), as required by JPC-Journal of Physical Chemistry for reasons of publication.
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 algebroids and, by a sort of duality, to affine analogs of…
We show that if a generator of a differential Gerstenhaber algebra satisfies certain Cartan-type identities, then the corresponding Lie bracket is formal. Geometric examples include the shifted de Rham complex of a Poisson manifold and the…
This paper has been withdrawn by the authors
This paper has been withdrawn by the authors in order to replace it with a more correct treatment. The basic results remain the same but the treatment is more rigorously correct.
We show that the 2d Poisson Sigma Model on a Poisson groupoid arises as an effective theory of the 3d Courant Sigma Model associated to the double of the underlying Lie bialgebroid. This field-theoretic result follows from a Lie-theoretic…
The paper was withdrawn by the author. Further research is needed.
This paper has been withdrawn by the authors after discussing its content with Dr. J. Madsen.
In this article, we discuss some recent developments of the Zariski Cancellation Problem in the setting of noncommutative algebras and Poisson algebras.
We re-formulate Bezrukavnikov-Kaledin's definition of a restricted Poisson algebra, provide some natural and interesting examples, and discuss connections with other research topics.
This paper withdrawn since it has been published in an updated version in Biophysical Reviews and Letter Vol. 2, No. 2 (2007) 155-166
This paper has been withdrawn by the author due to a crucial error in the formulation.
This paper has been withdrawn by the authour.
An improved (streamlined and extended) version of this paper is available as math.RA/0203010, which however omits some details. We recommend the later version unless details are essential.