A duality property for complex Lie algebroids |
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Authors: | Sophie Chemla |
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Institution: | (1) Institut de Mathématiques, Université Paris VI, Case 82, 4, place Jussieu, F-75252 Paris Cedex 05, France (e-mail: schemla@math.jussieu.fr) , FR |
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Abstract: | Interpreting Lie algebroid theory in terms of -modules, we define a duality functor for a Lie algebroid as well as a direct image functor for a morphism of Lie algebroids.
Generalizing the work of Schneiders (see also the work of Schapira-Schneiders) and making assumptions analog to his, we show
that the duality functor and the direct image functor commute. As an application, we extend to Lie algebroids some duality
properties already known for Lie algebras.
Received December 12, 1997; in final form April 8, 1998 |
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Keywords: | |
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