The Koszul homomorphism for a pair of Lie algebras in the theory of exotic characteristic classes of Lie algebroids |
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Authors: | Bogdan Balcerzak Jan Kubarski |
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Institution: | Institute of Mathematics, Lodz University of Technology, Wólczańska 215, 90-924 ?ód?, Poland |
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Abstract: | We examine fundamental properties of the universal exotic characteristic homomorphism in the category of Lie algebroids, introduced by the authors in Balcerzak and Kubarski (2012) 4]. The properties under study include: (a) functorial properties with respect to arbitrary morphisms of Lie algebroids, (b) homotopy properties, (c) relationships with the Koszul homomorphism for a pair of isotropy Lie algebras, (d) conditions under which the universal exotic characteristic homomorphism is a monomorphism. |
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Keywords: | primary 57R20 secondary 58H05 17B56 53C05 |
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