FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 3, PAGES 37-63

**Algebraic geometry over free metabelian Lie algebras. I.
U-algebras and universal classes**

E. Yu. Daniyarova

I. V. Kazatchkov

V. N. Remeslennikov

Abstract

View as HTML
View as gif image

This paper is the first in a series of three, the object of
which is to lay the foundations of algebraic geometry over the free
metabelian Lie algebra $F$.
In the current paper, we introduce the notion of a metabelian
U-Lie algebra and establish connections between metabelian U-Lie
algebras and special matrix Lie algebras.
We define the $$D-localization of
a metabelian U-Lie algebra $A$ and the direct module
extension of the Fitting radical of $A$ and show that these
algebras lie in the universal closure of $A$.

Location: http://mech.math.msu.su/~fpm/eng/k03/k033/k03304h.htm.

Last modified: January 24, 2005.