Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Lie Theory 23 (2013), No. 3, 885--897
Copyright Heldermann Verlag 2013

The Group Structure for Jet Bundles over Lie Groups

Cornelia Vizman
Dept. of Mathematics, West University of Timisoara, Bd. V. Parvan 4, 300223 Timisoara, Romania


\def\g{{\frak g}} The jet bundle $J^kG$ of $k$-jets of curves in a Lie group $G$ has a natural Lie group structure. We present an explicit formula for the group multiplication in the right trivialization and for the group 2-cocycle describing the abelian Lie group extension $\g\to J^{k}G\to J^{k-1}G$.

Keywords: Jet bundle, group cocycle, ordered partition, Leibniz algebra, near-ring.

MSC: 58A20, 20K35, 05A18

[ Fulltext-pdf  (326  KB)] for subscribers only.