论文标题
在一个整体域上的自由谎言代数的自由谎言代数
On the automorphisms of a free Lie algebra of rank 3 over an integral domain
论文作者
论文摘要
我们证明，自由谎言代数（以及自由抗议代数）在任意积分域上排名3的驯服自动形态具有3级的结构。我们构建了一个自由谎言代数（以及自由抗议代数）的野生自动形态的示例，该代数是在任意的欧几里得环上，类似于自由缔合代数的任意欧几里得环。
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.
