Naturally graded p-filiform Lie algebras in arbitrary finite dimension

摘要

The present paper offers the classification of naturally graded p-filiform Lie algebras in arbitrary finite dimension n. For sufficiently high n, (n >= max{3p - 1,p + 8}), and for all admissible value of p the results are a generalization of Vergne's in case of filiform Lie algebras [11].