This article is cited in 3 papers

Thin Leibniz Algebras

B. A. Omirov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: In the paper, analogs of $0$-filiform and filiform Leibniz algebras in the infinite-dimensional case are introduced and studied. It is proved that, to classify complex thin Leibniz algebras, it suffices to study some special transformations of bases.

Keywords: potentially nilpotent Leibniz algebra, filiform Leibniz algebra, thin Leibniz algebra, central series, affine variety, Zariski topology.

UDC: 512.554.38

Received: 04.04.2005
Revised: 28.01.2006

DOI: 10.4213/mzm2806

 English version: Mathematical Notes, 2006, 80:2, 244–253

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