Recent advances in enveloping algebras of semi-simple lie-algebras [A report on work of N. Conze, J. Dixmier, M. Duflo, J. C. Jantzen, A. Joseph, W. Borho]

1978 ◽  
pp. 1-18 ◽  
Author(s):  
Walter Borho
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Enveloping Algebras ◽  
Recent Advances

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
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