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Subalgebras of free Lie algebras

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2014
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Abstract (EN)

It's a well-known that the subalgebras of free Lie algebras which are defined on a field are also free. In this study it is analyzed when the subalgebras are free in the situations which the free Lie algebras are not defined on a field and it is showed in which form the components of the generators are. Also the subsets which produce a lower class free nilpotent and free polynilpotent Lie algebra of free nilpotent and free polynilpotent Lie algebras are analyzed. Key Words: Lie algebras, free Lie algebras, subalgebras of free Lie algebras

Author

Gözde Barut

How to Cite

Gözde Barut (Master Thesis). Subalgebras of free Lie algebras, 2014, Çukurova University.

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