Computation in free lie algebras
2008
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Advisor: Yrd. Doç. Dr. Ahmet Temizyürek
Abstract (EN)
In this study we have investigated the universal enveloping algebra U(L) of a Lie algebra L and the structure of its bases has been given. Furthermore, we have given further computer programs different from former programs for some well known algorithm about Lie algebras. Let be a Free Lie algebra, we have given a computer program which calculate the Hall bases of a free Lie algebra of , free generators sets and bases for the terms of the lower central series , the polycentral series and derived series of . .Let be a finitely presented Lie algebra and be a subalgebra of which its generators are given. Then we give a computer program finding bases in modulo the subalgebra .
Author
Dr. Ebubekir Topak
How to Cite
Ebubekir Topak (Master Thesis). Computation in free lie algebras, 2008, Çukurova University.
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