Nonsolvable Subalgebras of gl(4,R)

All the simple and then semisimple subalgebras of gl(4,R) are found. Each such semisimple subalgebra acts by commutator on gl(4,R). In each case the invariant subspaces are found and the results are used to determine all possible subalgebras of gl(4,R) that are not solvable.

Saved in:
Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2016-01, Vol.2016 (2016), p.1-17
Main Authors: Ghanam, Ryad, Thompson, Gerard
Format: Article
Language:English
Subjects:
Algebra
Commutators
Invariants
Mathematical analysis
Mathematics
Quantum theory
Subspaces
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:All the simple and then semisimple subalgebras of gl(4,R) are found. Each such semisimple subalgebra acts by commutator on gl(4,R). In each case the invariant subspaces are found and the results are used to determine all possible subalgebras of gl(4,R) that are not solvable.
ISSN:2314-4629
2314-4785
DOI:10.1155/2016/2570147