Nonsolvable Subalgebras of gl(4,R)

Ryad Ghanam, Gerard Thompson

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Article number2570147
JournalJournal of Mathematics
Volume2016
DOIs
Publication statusPublished - 2016

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Subalgebra
Semisimple
Invariant Subspace
Commutator

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Nonsolvable Subalgebras of gl(4,R). / Ghanam, Ryad; Thompson, Gerard.

In: Journal of Mathematics, Vol. 2016, 2570147, 2016.

Research output: Contribution to journalArticle

Ghanam, Ryad ; Thompson, Gerard. / Nonsolvable Subalgebras of gl(4,R). In: Journal of Mathematics. 2016 ; Vol. 2016.
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