Translator Disclaimer
2010 On jets, extensions and characteristic classes I
Helge MAAKESTAD
J. Gen. Lie Theory Appl. 4: 1-17 (2010). DOI: 10.4303/jglta/G091101

Abstract

In this paper, we give general definitions of non-commutative jets in the local and global situation using square zero extensions and derivations. We study the functors $\operatorname{Exan}_k(A,I)$, where $A$ is any $k$-algebra, and $I$ is any left and right $A$-module and use this to construct affine non-commutative jets. We also study the Kodaira-Spencer class $\operatorname{KS}(\mathcal{L})$ and relate it to the Atiyah class.

Citation

Download Citation

Helge MAAKESTAD. "On jets, extensions and characteristic classes I." J. Gen. Lie Theory Appl. 4 1 - 17, 2010. https://doi.org/10.4303/jglta/G091101

Information

Published: 2010
First available in Project Euclid: 11 October 2011

zbMATH: 1316.58015
MathSciNet: MR2719412
Digital Object Identifier: 10.4303/jglta/G091101

Subjects:
Primary: 14F10, 14F40

Rights: Copyright © 2010 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

JOURNAL ARTICLE
17 PAGES


SHARE
Back to Top