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 graded automorphism groups. (C) 2001 Academic Press.
Metabelian thin Lie algebras / Norberto, Gavioli; Monti, Valerio; David S., Young. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 241:1(2001), pp. 102-117. [10.1006/jabr.2001.8752]
Metabelian thin Lie algebras
MONTI, Valerio;
2001
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 graded automorphism groups. (C) 2001 Academic Press.File allegati a questo prodotto
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