DoctorateOpen Access

Automorphic equivalence for free Lie algebras

Is this your thesis?

This record came from a bulk archive import. If it’s yours, link it to your profile.

2011
0 views
0 downloads

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.

Keywords

License

Tüm Hakları Saklıdır

This work is shared under the specified license terms.

More theses from Çukurova University