In the context of the variational bi-complex, we re-explain that irreducible gauge systems define a particular example of a Lie algebroid. This is used to review some recent and not so recent results on gauge, global and asymptotic symmetries.SCOPUS: cp.pinfo:eu-repo/semantics/publishe
This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their imp...
In this paper, we present a purely algebraic formulation of higher gauge theory and gauged sigma mod...
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiab...
24 pages, Publication reference: J.Geom.Phys.59:1613-1623,2009Lie algebroid Yang-Mills theories are ...
AbstractSeveral new invariants of Lie algebroids have been discovered recently. We give an overview ...
International audienceWe observe that a system of irreducible, fiber-linear, first-class constraints...
It is well-known that principal bundles and associated bundles underlie the geometric structure of c...
Connus des mécaniciens de la géométrie de Poisson, les algébroïdes de Lie transitifs sont ici étudié...
Using the concept of variational tricomplex endowed with a presymplectic structure, we formulate the...
I will report on progress of a joint project with Alan Weinstein in which we try to understand the i...
52 pages, Invited and Refereed Contribution to the ''Handbook on Pseudo-Riemannian Geometry and Supe...
It is shown that the correct mathematical implementation of symmetry in the geometric formulation of...
AbstractA VB-algebroid is essentially defined as a Lie algebroid object in the category of vector bu...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
Algébröıdes de Lie et algébröıdes de Courant dans le formalisme lagrangien Apr̀s un expose ́ de ...
This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their imp...
In this paper, we present a purely algebraic formulation of higher gauge theory and gauged sigma mod...
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiab...
24 pages, Publication reference: J.Geom.Phys.59:1613-1623,2009Lie algebroid Yang-Mills theories are ...
AbstractSeveral new invariants of Lie algebroids have been discovered recently. We give an overview ...
International audienceWe observe that a system of irreducible, fiber-linear, first-class constraints...
It is well-known that principal bundles and associated bundles underlie the geometric structure of c...
Connus des mécaniciens de la géométrie de Poisson, les algébroïdes de Lie transitifs sont ici étudié...
Using the concept of variational tricomplex endowed with a presymplectic structure, we formulate the...
I will report on progress of a joint project with Alan Weinstein in which we try to understand the i...
52 pages, Invited and Refereed Contribution to the ''Handbook on Pseudo-Riemannian Geometry and Supe...
It is shown that the correct mathematical implementation of symmetry in the geometric formulation of...
AbstractA VB-algebroid is essentially defined as a Lie algebroid object in the category of vector bu...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
Algébröıdes de Lie et algébröıdes de Courant dans le formalisme lagrangien Apr̀s un expose ́ de ...
This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their imp...
In this paper, we present a purely algebraic formulation of higher gauge theory and gauged sigma mod...
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiab...
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