Casimir invariants and characteristic identities for generators of the general linear, special linear and orthosymplectic graded Lie algebras

1979 ◽  
Vol 20 (10) ◽  
pp. 2115-2122 ◽  
Author(s):  
P. D. Jarvis ◽  
H. S. Green
Keyword(s):  
Lie Algebras ◽  
General Linear ◽  
Graded Lie Algebras ◽  
Special Linear ◽  
Casimir Invariants

Cohomology of certain $ \mathbb N$-graded Lie algebras

2004 ◽  
Vol 59 (6) ◽  
pp. 1210-1211
Author(s):  
D V Millionshchikov ◽  
A Fialowski
Keyword(s):  
Lie Algebras ◽  
Graded Lie Algebras

Orthogonal decompositions of Lie algebras over finite commutative rings

2021 ◽  
pp. 2350006
Author(s):  
Songpon Sriwongsa
Keyword(s):  
Commutative Ring ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Commutative Rings ◽  
Orthogonal Decomposition ◽  
Necessary Condition ◽  
Special Linear ◽  
Orthogonal Lie Algebra ◽  
Orthogonal Decompositions ◽  
Finite Commutative Ring

Let [Formula: see text] be a finite commutative ring with identity. In this paper, we give a necessary condition for the existence of an orthogonal decomposition of the special linear Lie algebra over [Formula: see text]. Additionally, we study orthogonal decompositions of the symplectic Lie algebra and the special orthogonal Lie algebra over [Formula: see text].

Generators of simple graded Lie algebras of finite growth

2017 ◽  
Vol 148 (2) ◽  
pp. 315-324
Author(s):  
Liming Tang ◽  
Wende Liu
Keyword(s):  
Lie Algebras ◽  
Graded Lie Algebras ◽  
Finite Growth

scholarly journals Graded Lie Algebras of Maximal Class

1997 ◽  
Vol 349 (10) ◽  
pp. 4021-4051 ◽  
Author(s):  
A. Caranti ◽  
S. Mattarei ◽  
M. F. Newman
Keyword(s):  
Lie Algebras ◽  
Maximal Class ◽  
Graded Lie Algebras

On some classes of $${\mathbb {Z}}$$-graded Lie algebras

2020 ◽  
Vol 90 (1) ◽  
pp. 45-71
Author(s):  
Stefano Marini ◽  
Costantino Medori ◽  
Mauro Nacinovich
Keyword(s):  
Lie Algebras ◽  
Graded Lie Algebras
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