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
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Suppose that is a free Lie
algebra of finite rank over a field of positive characteristic.
a nontrivial finite group of homogeneous automorphisms of
It is known that the subalgebra of invariants is
Our goal is to describe how big its free generating set is.
a homogeneous free generating set of , where elements
of are of
with respect to .
We describe the growth of the generating function of and prove that
Last modified: December 2, 2009