Intersections of terms of polycentral series and lower central series of free lie algebras
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Abstract (EN)
This study is concerned with the identification the intersections of terms of polycentral series with the lower central series of a free group. The results from the group case which derivation by T. C. Hurley are used to derive analogous results for the free Lie algebra. Examples were made for some cases.A is an associative algebra and define its lower central series L_0 (A)=A, L_i (A)=[A,L_(i-1) (A)], and the corresponding quotients B_i (A)=(L_i (A))?(L_(i+1) (A) ). We study the structure of B_i (A_n ) for a free algebra A_n. We construct a basis for B_2 (A_n ).
Author
Zeynep Küçükakçalı
How to Cite
Zeynep Küçükakçalı (Master Thesis). Intersections of terms of polycentral series and lower central series of free lie algebras, 2012, Çukurova University.
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