Journal of Lie Theory

no. 3
The Group Structure for Jet Bundles over Lie Groups
Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 885-897
\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 $\g\to J^{k}G\to J^{k-1}G$.
DOI: 10.5802/jolt.755
Classification: 58A20, 20K35, 05A18
Keywords: Jet bundle, group cocycle, ordered partition, Leibniz algebra, near-ring 
@article{JOLT_2013_23_3_a15,
     author = {C. 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},
     doi = {10.5802/jolt.755},
     zbl = {1286.58001},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.755/}
}
TY  - JOUR
AU  - C. Vizman
TI  - The Group Structure for Jet Bundles over Lie Groups
JO  - Journal of Lie Theory
PY  - 2013
SP  - 885
EP  - 897
VL  - 23
IS  - 3
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.755/
DO  - 10.5802/jolt.755
ID  - JOLT_2013_23_3_a15
ER  - 
%0 Journal Article
%A C. Vizman
%T The Group Structure for Jet Bundles over Lie Groups
%J Journal of Lie Theory
%D 2013
%P 885-897
%V 23
%N 3
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.755/
%R 10.5802/jolt.755
%F JOLT_2013_23_3_a15
C. Vizman. The Group Structure for Jet Bundles over Lie Groups. Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 885-897. doi: 10.5802/jolt.755

Cited by Sources: