Basis of free Lie algebras
2012
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Advisor: Prof. Dr. Naime Ekici
Abstract (EN)
The purpose of this work is to investigate the structure of the bases by examining Chibrikov?s (2006) study about the right normed basis for free Lie algebras. In this work, a basis of a free Lie algebra that consists of right normed words is examined and a set of all words in the form [a_(i_1 )[a_(i_2 )[?[a_(i_(t-1) ) a_(i_t )]?]]] is shown to be a base where a_(i_p ) are free generators for 1?p?t.Keywords: Free Lie algebras, Linear basis, Right normed basis, Lyndon- Shirshov words
Author
Didem Ücal
How to Cite
Didem Ücal (Master Thesis). Basis of free Lie algebras, 2012, Çukurova University.
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