Geodesic
The Great Heritage of Sophus Lie
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 4, pp. 72-92

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In the paper, we describe the floors $T^kM$, sector-bundles, and the theory of sector forms according to J. T. White. Using iterations of the tangent functor $T$, we construct tangent groups $T^kG$. Using the Lie–Cartan calculus, we study invariants of the group operators, their transformations under symmetries and stability.
Mots-clés : jets, tangent group
Keywords: tangent functor, floor, stability of invariants. 
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M. Rahula. The Great Heritage of Sophus Lie. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 4, pp. 72-92. http://geodesic.mathdoc.fr/item/UZKU_2009_151_4_a7/