Automorphic equivalence for free Lie algebras
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Abstract (EN)
Let K be a algebraically closed field of characteristic zero and F be free Lie algebra generated by the set X over K . Denote by Lc and M the free nilpotent Lie algebra of class c and the free metabelian Lie algebra respectively.In this thesis we define automorphic equivalence and iner-auto-equivalence for free Lie algebras. We present an algorithm which decides whether or not two elements in F are equivalent under an automorphism of F . We determined conditions of reducibility under an inner automorphism for degree of a given element in Lc and M. Finally, we have given two algorithms which decide whether or not two elements in Lc for c<4 , and M are inner-auto-equivalent, respectively.
Author
Cennet Eskal
How to Cite
Cennet Eskal (Doctorate thesis). Automorphic equivalence for free Lie algebras, 2011, Çukurova University.
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