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On the automorphisms of a free Lie algebra of rank 3 over an integral domain
Published 2 Jan 2020 in math.RA | (2001.00382v1)
Abstract: We prove that the group of tame automorphisms of a free Lie algebra (as well as of a free anticommutative algebra) rank 3 over an arbitrary integral domain has the structure of an amalgamated free product. We construct an example of a wild automorphism of a free Lie algebra (as well as of a free anticommutative algebra) of rank 3 over an arbitrary Euclidean ring analogous to the Anick automorphism for free associative algebras.
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