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Research Report MRR00-019

Metabelian thin Lie algebras

Norberto Gavioli, Valerio Monti and David S. Young

Abstract: A graded Lie algebra is thin if it is generated by two elements of degree 1 and each of its homogeneous ideals is located between two consecutive terms of the lower central series. In this paper we give a complete classification of the metabelian thin Lie algebras and their automorphism groups.

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