In this paper we translate the necessary and sufficient condi- tions of Tanaka’s theorem on the finiteness of effective prolongations of a fundamental graded Lie algebras into computationally effective criteria, involving the rank of some matrices that can be explicitly constructed. Our results would apply to geometries, which are defined by assigning a structure algebra on the contact distribution.
$$,mathrmmathfrak L,$$L-prolongations of graded Lie algebras / Marini, Stefano; Medori, Costantino; Nacinovich, Mauro. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - (2020). [10.1007/s10711-020-00510-0]
$$,mathrmmathfrak L,$$L-prolongations of graded Lie algebras
Marini, Stefano
;Medori, Costantino;
2020-01-01
Abstract
In this paper we translate the necessary and sufficient condi- tions of Tanaka’s theorem on the finiteness of effective prolongations of a fundamental graded Lie algebras into computationally effective criteria, involving the rank of some matrices that can be explicitly constructed. Our results would apply to geometries, which are defined by assigning a structure algebra on the contact distribution.File in questo prodotto:
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