Abstract
In this paper we translate the necessary and sufficient conditions 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.
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Marini, S., Medori, C. & Nacinovich, M. \({{\,\mathrm{{\mathfrak {L}}}\,}}\)-prolongations of graded Lie algebras. Geom Dedicata 208, 61–88 (2020). https://doi.org/10.1007/s10711-020-00510-0
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DOI: https://doi.org/10.1007/s10711-020-00510-0