Geodesic
Actions of automorphisms groups on Weil bundles
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 159-172 
A. Ya. Sultanov. Actions of automorphisms groups on Weil bundles. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 159-172. http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a15/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this work the irreductibility of the Weil algebra is proved and the notion of the Whitney sum of the Weil algebra is introduced. It is proved that if $m$ is a width, $k$ — a radical dimension, $r$ — a Weil algebra index, then the dimension of automorphism group of this algebra equals $mk-r$. The left and right actions of the automorphism group of the Weil algebra are constructed on the Weil bundle.

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[2] Postnikov M. M., Gruppy i algebry Li, Nauka, M., 1982, 447 pp. | MR

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