Geodesic
The Group Structure for Jet Bundles over Lie Groups
Cornelia Vizman1
1Dept. of Mathematics, West University of Timisoara, Bd. V. Parvan 4, 300223 Timisoara, Romania
Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 885-897

Voir la notice de l'article provenant de la source Heldermann Verlag

\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 $\g\to J^{k}G\to J^{k-1}G$.
Classification : 58A20, 20K35, 05A18
Mots-clés : Jet bundle, group cocycle, ordered partition, Leibniz algebra, near-ring

Cornelia Vizman  1

1 Dept. of Mathematics, West University of Timisoara, Bd. V. Parvan 4, 300223 Timisoara, Romania 
Cornelia Vizman. The Group Structure for Jet Bundles over Lie Groups. Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 885-897. http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a15/
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     author = {Cornelia Vizman},
     title = {The {Group} {Structure} for {Jet} {Bundles} over {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {885--897},
     year = {2013},
     volume = {23},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a15/}
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