Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 23 (2013), No. 3, 885--897Copyright 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 vizman@math.uvt.ro [Abstract-pdf] \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.