A duality property for complex Lie algebroids
type: Item
instance of: scholarly article
title: A duality property for complex Lie algebroids
zbMATH Open document ID: 0933.32015
author: Sophie Chemla
published in: Mathematische Zeitschrift
publication date: 2000-01-04T00:00:00Z
review text: Interpreting Lie algebroid theory in terms of \({\mathcal D}\)-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.
Mathematics Subject Classification ID: 32C38
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 58H05
zbMATH DE Number: 1384394
zbMATH Keywords: \({\mathcal D}\)-modules
zbMATH Keywords: Lie algebroid
zbMATH Keywords: duality functor
zbMATH Keywords: direct image functor
MaRDI profile type: Publication
full work available at URL: s002090050520
OpenAlex ID: W2043604591
DOI: 10.1007/S002090050520
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description: scientific article; zbMATH DE number 1384394