Nilpotent Elements in Lie Algebras

1990 ◽  
pp. 233-238
Author(s):  
Irving Kaplansky
Keyword(s):  
Lie Algebras ◽  
Nilpotent Elements

scholarly journals Finite generation of Lie derived powers of associative algebras

2019 ◽  
Vol 18 (03) ◽  
pp. 1950059
Author(s):  
Adel Alahmadi ◽  
Hamed Alsulami
Keyword(s):  
Lie Algebras ◽  
Associative Algebra ◽  
Finite Collection ◽  
Finitely Generated ◽  
Associative Algebras ◽  
Finite Generation ◽  
Nilpotent Elements ◽  
Algebra Over A Field

Let [Formula: see text] be an associative algebra over a field of characteristic [Formula: see text] that is generated by a finite collection of nilpotent elements. We prove that all Lie derived powers of [Formula: see text] are finitely generated Lie algebras.

scholarly journals Lie algebras with self-centralizing ad-nilpotent elements

1979 ◽  
Vol 57 (2) ◽  
pp. 279-309 ◽  
Author(s):  
G.M Benkart ◽  
I.M Isaacs ◽  
J.M Osborn
Keyword(s):  
Lie Algebras ◽  
Nilpotent Elements
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