Lie Algebras and the Dimension Problem

by Thomas Sicking
Doctoral thesis
Date of Examination:2020-11-30
Date of issue:2021-11-03
Advisor:Prof. Dr. Laurent Bartholdi
Referee:Prof. Dr. Laurent Bartholdi
Referee:Prof. Dr. Thomas Schick
Persistent Address: http://dx.doi.org/10.53846/goediss-8868

 

 

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Abstract

English

The dimension subgroup problem and the Ore conjecture are two group theoretical problems. In this thesis, translations of these problems to Lie algebras are analyzed and partially solved.
Keywords: Lie algebras; associative algebras; Lie rings; commutators; lower central series
 
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