Journal of Lie Theory

no. 2
On a Geometry Associated with Free Pseudo-Product Fundamental Graded Lie Algebras
Journal of Lie Theory, Volume 25 (2015) no. 2, pp. 485-506
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.
DOI: 10.5802/jolt.847
Classification: 17B70, 58A15
Keywords: Pseudo-product graded Lie algebra, prolongation, Hilbert-Cartan equation 
@article{JOLT_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},
     doi = {10.5802/jolt.847},
     zbl = {1368.17030},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.847/}
}
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T. Yatsui. On a Geometry Associated with Free Pseudo-Product Fundamental Graded Lie Algebras. Journal of Lie Theory, Volume 25 (2015) no. 2, pp. 485-506. doi: 10.5802/jolt.847

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