English

L-prolongations of graded Lie algebras

Differential Geometry 2019-10-21 v2

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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Cite

@article{arxiv.1806.09376,
  title  = {L-prolongations of graded Lie algebras},
  author = {Stefano Marini and Costantino Medori and Mauro Nacinovich},
  journal= {arXiv preprint arXiv:1806.09376},
  year   = {2019}
}

Comments

30 pages