The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2

1995 ◽  
Vol 347 (11) ◽  
pp. 4315 ◽  
Author(s):  
Stephen Berman ◽  
Yun Gao ◽  
Yaroslav Krylyuk ◽  
Erhard Neher
Keyword(s):  
Lie Algebras ◽  
Type A ◽  
Simple Lie Algebras

scholarly journals The alternative torus and the structure of elliptic quasi-simple Lie algebras of type $A\sb 2$

1995 ◽  
Vol 347 (11) ◽  
pp. 4315-4363
Author(s):  
Stephen Berman ◽  
Yun Gao ◽  
Yaroslav Krylyuk ◽  
Erhard Neher
Keyword(s):  
Lie Algebras ◽  
Type A ◽  
Simple Lie Algebras

Simple Lie Algebras of Type A

1989 ◽  
pp. 60-62
Author(s):  
N. Jacobson
Keyword(s):  
Lie Algebras ◽  
Type A ◽  
Simple Lie Algebras

scholarly journals Simple Lie Algebras of Type A

1937 ◽  
Vol 23 (4) ◽  
pp. 240-242 ◽  
Author(s):  
N. Jacobson
Keyword(s):  
Lie Algebras ◽  
Type A ◽  
Simple Lie Algebras

Automorphisms of the Lie Algebras W* in Characteristic 0

1997 ◽  
Vol 49 (1) ◽  
pp. 119-132 ◽  
Author(s):  
J. Marshall Osborn
Keyword(s):  
Lie Algebras ◽  
Type A ◽  
Simple Lie Algebras ◽  
Infinite Dimensional ◽  
Cartan Type

In a recent paper [2] we defined four classes of infinite dimensional simple Lie algebras over a field of characteristic 0 which we called W*, S*, H*, and K*. As the names suggest, these classes generalize the Lie algebras of Cartan type. A second paper [3] investigates the derivations of the algebras W* and S*, and the possible isomorphisms between these algebras and the algebras defined by Block [1]. In the present paper we investigate the automorphisms of the algebras of type W*.

DECOMPOSABLY-GENERATED MODULES OF SIMPLE LIE ALGEBRAS

2012 ◽  
Vol 11 (02) ◽  
pp. 1250023
Author(s):  
JUNHUA HE ◽  
YOUJUN TAN
Keyword(s):  
Lie Algebras ◽  
Type A ◽  
Exterior Algebra ◽  
Simple Lie Algebras ◽  
Finite Dimensional

It is shown that there are finitely many irreducible finite-dimensional orthogonal modules V (up to isomorphism) over any complex simple Lie algebras such that Spin0(V) is decomposably-generated in the sense of Panyushev [The exterior algebra and "Spin" of an orthogonal 𝔤-module, Trans. Groups6 (2001) 371–396]. The case of simple Lie algebras of type A is discussed.

Simple Lie Algebras of Type A

1989 ◽  
pp. 133-140
Author(s):  
N. Jacobson
Keyword(s):  
Lie Algebras ◽  
Type A ◽  
Simple Lie Algebras

Simple Lie Algebras of Type A

1938 ◽  
Vol 39 (1) ◽  
pp. 181 ◽  
Author(s):  
N. Jacobson
Keyword(s):  
Lie Algebras ◽  
Type A ◽  
Simple Lie Algebras

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.

scholarly journals Distinguished sets of semi-simple Lie algebras

2021 ◽  
Author(s):  
Xudong Chen ◽  
Bahman Gharesifard
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras
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