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Solvable Lie algebras with an \mathbb {N}-graded nilradical of maximal nilpotency degree and their invariants

Rutwig Campoamor-StursbergI.M.I. and Dpto. Geometría y Topología, Universidad Complutense de Madrid, Plaza de Ciencias, 3 E-28040 Madrid, Spain
2010en
ABI

Abstract

The class of solvable Lie algebras with an -graded nilradical of maximal nilpotency index is classified. It is shown that such solvable extensions are unique up to isomorphism. The generalized Casimir invariants for the -graded nilradicals and their associated solvable extensions are computed by the method of moving frames.

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Cited by 90 references