A “new” proof of kaplansky's theorem on simple Lie algebras of rank one

1981 ◽  
pp. 1-12 ◽  
Author(s):  
Robert Lee Wilson
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Rank One

scholarly journals Toral Rank One Simple Lie Algebras of Low Characteristics

1998 ◽  
Vol 200 (2) ◽  
pp. 650-700 ◽  
Author(s):  
Serge Skryabin
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Rank One ◽  
Toral Rank

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.

Models of isotropic simple lie algebras

1979 ◽  
Vol 7 (17) ◽  
pp. 1835-1875 ◽  
Author(s):  
B.N. Allison
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras

Nilpotent Orbits in Simple Lie Algebras and their Transverse Poisson Structures

2008 ◽  
Author(s):  
P. A. Damianou ◽  
H. Sabourin ◽  
P. Vanhaecke ◽  
Rui Loja Fernandes ◽  
Roger Picken
Keyword(s):  
Lie Algebras ◽  
Poisson Structures ◽  
Nilpotent Orbits ◽  
Simple Lie Algebras

scholarly journals Toral rank one Lie algebras

1988 ◽  
Vol 115 (1) ◽  
pp. 238-250 ◽  
Author(s):  
Georgia Benkart ◽  
J.Marshall Osborn
Keyword(s):  
Lie Algebras ◽  
Rank One ◽  
Toral Rank
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