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Article Dans Une Revue Transformation Groups Année : 2008

Modular classes of Lie algebroid morphisms

Résumé

We study the behavior of the modular class of a Lie algebroid under general Lie algebroid morphisms by introducing the relative modular class. We investigate the modular classes of pull-back morphisms and of base-preserving morphisms associated to Lie algebroid extensions. We also define generalized morphisms, including Morita equivalences, that act on the 1-cohomology, and observe that the relative modular class is a coboundary on the category of Lie algebroids and generalized morphisms with values in the 1-cohomology.

Dates et versions

hal-00836630 , version 1 (21-06-2013)

Identifiants

Citer

Yvette Kosmann-Schwarzbach, Camille Laurent-Gengoux, Alan Weinstein. Modular classes of Lie algebroid morphisms. Transformation Groups, 2008, 13 (3-4), pp.727-755. ⟨10.1007/s00031-008-9032-y⟩. ⟨hal-00836630⟩
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