R. K. Gazizov, V. O. Lukashchuk, “Classification of approximate Lie algebras with three essential vectors”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, Number 10,Pages <nobr>3

This article is cited in 1 paper

Classification of approximate Lie algebras with three essential vectors

R. K. Gazizov, V. O. Lukashchuk

High Performance Computing Chair, Ufa State Aviation Technical University, Ufa, Russia

Abstract: We propose an algorithm for classifying approximate Lie algebras whose bases are defined by essential vectors. We give a classification of Lie algebras with three essential vectors.

Keywords: Lie algebra, isomorphism of Lie algebras, transformations of basic vectors, essential vectors.

UDC: 517.95

Received: 21.01.2009
Revised: 03.06.2009