Document Details

Document Type : Thesis 
Document Title :
Finite Generation and Growth of Lie Algebras
التوليد المنتهي ودوال النمو لجبور لي
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : Let A be a finitely generated associative algebra over a field of characteristic different of 2. I. N. Herstein asked when is the Lie algebra [A,A] finitely generated? In this dissertation, we consider all derived powers of the Lie algebra K, where K is the Lie algebra of skew symmetric elements of an associative algebra with involution, and prove that for any finitely generated associative nil algebra with an involution, all derived powers of K, are finitely generated Lie algebras. We also investigate relations between the growth functions of A and the Lie algebra [A,A]. We prove that if A is generated by a finite collection of nilpotent elements, then the growth functions are asymptotically equivalent. 
Supervisor : Prof. Adel Alahmadi 
Thesis Type : Doctorate Thesis 
Publishing Year : 1441 AH
2020 AD 
Added Date : Tuesday, July 28, 2020 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
فوزيه منصور الحارثيAlharthi, Fawziah MansourResearcherDoctorate 

Files

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 46654.pdf pdf 

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