The maximal solvable subalgebras of the real classical lie algebras. II

2008 ◽  
pp. 516-522 ◽  
Author(s):  
Marcel Perroud
Keyword(s):  
Lie Algebras ◽  
The Real

scholarly journals On Real Irreducible Representations of Lie Algebras

1959 ◽  
Vol 14 ◽  
pp. 59-83 ◽  
Author(s):  
Nagayoshi Iwahori
Keyword(s):  
Positive Integer ◽  
Real Number ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Number Field ◽  
Irreducible Representations ◽  
The Real ◽  
Representations Of Lie Algebras ◽  
Real Matrices ◽  
Real Number Field

Let us consider the following two problems:Problem A. Let g be a given Lie algebra over the real number field R. Then find all real, irreducible representations of g.Problem B. Let n be a given positive integer. Then find all irreducible subalgebras of the Lie algebra ôí(w, R) of all real matrices of degree n.

scholarly journals Transformation groups on real plane and their differential invariants

2006 ◽  
Vol 2006 ◽  
pp. 1-17 ◽  
Author(s):  
Maryna O. Nesterenko
Keyword(s):  
Lie Algebras ◽  
Differential Invariants ◽  
Transformation Groups ◽  
Real Plane ◽  
Continuous Transformation ◽  
The Real ◽  
Finite Dimensional ◽  
Complete Sets ◽  
Finite Dimensional Lie Algebras ◽  
Invariant Differentiation

Complete sets of bases of differential invariants, operators of invariant differentiation, and Lie determinants of continuous transformation groups acting on the real plane are constructed. As a necessary preliminary, realizations of finite-dimensional Lie algebras on the real plane are revisited.

scholarly journals The classification of the real primitive infinite Lie algebras

1970 ◽  
Vol 10 (2) ◽  
pp. 207-243 ◽  
Author(s):  
Tôhru Morimoto ◽  
Noboru Tanaka
Keyword(s):  
Lie Algebras ◽  
The Real

scholarly journals Lie Algebras of Vector Fields in the Real Plane

1992 ◽  
Vol s3-64 (2) ◽  
pp. 339-368 ◽  
Author(s):  
Artemio González-López ◽  
Niky Kamran ◽  
Peter J. Olver
Keyword(s):  
Lie Algebras ◽  
Vector Fields ◽  
Real Plane ◽  
The Real
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