Naturally Graded p-Filiform Lie Algebras in Arbitrary Finite Dimension

The present paper offers the classification of naturally graded pfiliform 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].

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