FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 4, PAGES 85-94

**Solvable Lie algebras, products by generators, and some of its
applications**

R. Campoamor-Stursberg

Abstract

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In this work, we enlarge the definition of products by generators of
Lie algebras to the class of solvable Lie algebras.
We analyze the number of independent invariant functions for the
coadjoint representation of these algebras by means of the
Maurer--Cartan equations and give some applications to product
structures on Lie algebras.

Location: http://mech.math.msu.su/~fpm/eng/k05/k054/k05407h.htm

Last modified: November 25, 2005