Geodesic
On a Geometry Associated with Free Pseudo-Product Fundamental Graded Lie Algebras
Journal of Lie theory, Tome 25 (2015) no. 2, pp. 485-506
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

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 
@article{JLT_2015_25_2_JLT_2015_25_2_a9,
     author = {T. 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/JLT_2015_25_2_JLT_2015_25_2_a9/}
}
TY  - JOUR
AU  - T. Yatsui
TI  - On a Geometry Associated with Free Pseudo-Product Fundamental Graded Lie Algebras
JO  - Journal of Lie theory
PY  - 2015
SP  - 485
EP  - 506
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JLT_2015_25_2_JLT_2015_25_2_a9/
ID  - JLT_2015_25_2_JLT_2015_25_2_a9
ER  - 
%0 Journal Article
%A T. Yatsui
%T On a Geometry Associated with Free Pseudo-Product Fundamental Graded Lie Algebras
%J Journal of Lie theory
%D 2015
%P 485-506
%V 25
%N 2
%U http://geodesic.mathdoc.fr/item/JLT_2015_25_2_JLT_2015_25_2_a9/
%F JLT_2015_25_2_JLT_2015_25_2_a9
T. 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/JLT_2015_25_2_JLT_2015_25_2_a9/