On dimension of the Schur multiplier of nilpotent Lie algebras

Peyman Niroomand

Open Mathematics, Tome 9 (2011), p. 57-64 / Harvested from The Polish Digital Mathematics Library

Résumé

Let L be an n-dimensional non-abelian nilpotent Lie algebra and s(L)=12(n-1)(n-2)+1-dimM(L) where M(L) is the Schur multiplier of L. In [Niroomand P., Russo F., A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra (in press)] it has been shown that s(L) ≥ 0 and the structure of all nilpotent Lie algebras has been determined when s(L) = 0. In the present paper, we will characterize all finite dimensional nilpotent Lie algebras with s(L) = 1; 2.

Détail

Publié le : 2011-01-01

Zbl 1281.17015

EUDML-ID : urn:eudml:doc:269221

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