Geodesic
On a Geometry Associated with Free Pseudo-Product Fundamental Graded Lie Algebras
Tomoaki Yatsui1
11--9--2 Masakae, Otaru 047-0003, Japan
Journal of Lie Theory, Tome 25 (2015) no. 2, pp. 485-506

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

We calculate the prolongations of the underlying fundamental graded Lie algebras of free pseudo-product fundamental graded Lie algebras. Also we show that the Lie algebra of infinitesimal automorphisms of a differential system associated with the Hilbert-Cartan equation in a wider sense is isomorphic to the prolongation of the underlying fundamental graded Lie algebra of some free pseudo-product fundamental graded Lie algebra.
Classification : 17B70, 58A15
Mots-clés : Pseudo-product graded Lie algebra, prolongation, Hilbert-Cartan equation

Tomoaki Yatsui  1

1 1--9--2 Masakae, Otaru 047-0003, Japan 
Tomoaki Yatsui. On a Geometry Associated with Free Pseudo-Product Fundamental Graded Lie Algebras. Journal of Lie Theory, Tome 25 (2015) no. 2, pp. 485-506. http://geodesic.mathdoc.fr/item/JOLT_2015_25_2_a9/
@article{JOLT_2015_25_2_a9,
     author = {Tomoaki Yatsui},
     title = {On a {Geometry} {Associated} with {Free} {Pseudo-Product} {Fundamental} {Graded} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {485--506},
     year = {2015},
     volume = {25},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_2_a9/}
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