FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 1, PAGES 117-124

On invariants of modular free Lie algebras

V. M. Petrogradsky
A. A. Smirnov

Abstract

View as HTML     View as gif image

Suppose that L(X) is a free Lie algebra of finite rank over a field of positive characteristic. Let G be a nontrivial finite group of homogeneous automorphisms of L(X). It is known that the subalgebra of invariants H = LG is infinitely generated. Our goal is to describe how big its free generating set is. Let Y = È n=1¥Yn be a homogeneous free generating set of H, where elements of Yn are of degree n with respect to X. We describe the growth of the generating function of Y and prove that |Yn| grow exponentially.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k09/k091/k09108h.htm
Last modified: December 2, 2009