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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

On jets, extensions and characteristic classes I

Abstract

Helge MAAKESTAD

In this paper, we give general de nitions of non-commutative jets in the local and global situation using square zero extensions and derivations. We study the functors Exank(A; I), where A is any k-algebra, and I is any left and right A-module and use this to construct ane non-commutative jets. We also study the Kodaira-Spencer class KS(L) and relate it to the Atiyah class.

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