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Claude Roger
About Lie-Rinehart superalgebras
(Volume 89 - Année 2020 — Articles)
Article
Attached document(s)
original pdf fileAbstract
We extend to the superalgebraic case the theory of Lie-Rinehart algebras and work out some examples concerning the most popular samples of super manofilds
Keywords : supermanifolds, Lie-Rinehart algebras, Frölicher-Nijenhuis bracket, Nijenhius-Richardson bracket, Schouten-Nijenhius bracket
Table of content
1. Introduction
2. Construction of the enveloping algebra
3. Lie-Rinehart superalgebras
4. The purely odd supermanifold of dimension 0|n
5. The case of Ṽ
6. The case of ^V
7. Appendix
Acknowledgments
References
To cite this article
Claude Roger, «About Lie-Rinehart superalgebras», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 89 - Année 2020, Articles, 186- 197 URL : https://popups.ulg.ac.be/0037-9565/index.php?id=9848.
About: Claude Roger
Institut Camille Jordan, Université de Lyon, 43 boulevard du 11 novembre 1918, F-69622 Villeurbanne Cedex, France, roger@math.univ-lyon1.fr