scholarly journals On classifying simple Lie algebras of prime characteristic by nilpotent elements

1971 ◽  
Vol 19 (1) ◽  
pp. 31-50 ◽  
Author(s):  
John B Jacobs
Keyword(s):  
Lie Algebras ◽  
Prime Characteristic ◽  
Simple Lie Algebras ◽  
Nilpotent Elements

scholarly journals CODES, S-STRUCTURES, AND EXCEPTIONAL LIE ALGEBRAS

2019 ◽  
Vol 62 (S1) ◽  
pp. S14-S27 ◽  
Author(s):  
ISABEL CUNHA ◽  
ALBERTO ELDUQUE
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Nonassociative Algebras ◽  
Exceptional Lie Algebras

AbstractThe exceptional simple Lie algebras of types E7 and E8 are endowed with optimal $\mathsf{SL}_2^n$ -structures, and are thus described in terms of the corresponding coordinate algebras. These are nonassociative algebras which much resemble the so-called code algebras.

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