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

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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2870877
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact