Sibirsk. Mat. Zh., 2009 Volume 50, Number 1, Pages 82–95
(Mi smj1939)
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2 papers
Strictly nontame primitive elements of the free metabelian Lie algebra of rank 3
A. N. Kabanov,
V. A. Roman'kov Omsk State University
Abstract:
We prove that the free metabelian Lie algebra
$M_3$ of rank 3 over an arbitrary field
$K$ admits strictly nontame primitive elements.
Keywords:
Lie algebra, automorphism, tame automorphism, primitive element, free algebra, free derivation.
UDC:
512.54 Received: 27.08.2007
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