Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Linear_Lie_algebra> ?p ?o. }
Showing items 1 to 11 of
11
with 100 items per page.
- Linear_Lie_algebra abstract "In algebra, a linear Lie algebra is a subalgebra of the Lie algebra consisting of endomorphisms of a vector space V. In other words, a linear Lie algebra is the image of a Lie algebra representation.Any Lie algebra is a linear Lie algebra in the sense that there is always a faithful representation of (in fact, on a finite-dimensional vector space by Ado's theorem if is itself finite-dimensional.)Let V be a finite-dimensional vector space over a field of characteristic zero and a subalgebra of . Then V is semisimple as a module over if and only if (i) it is a direct sum of the center and a semisimple ideal and (ii) the elements of the center are diagonalizable (over some extension field).".
- Linear_Lie_algebra wikiPageID "39331795".
- Linear_Lie_algebra wikiPageRevisionID "567961529".
- Linear_Lie_algebra subject Category:Lie_algebras.
- Linear_Lie_algebra comment "In algebra, a linear Lie algebra is a subalgebra of the Lie algebra consisting of endomorphisms of a vector space V. In other words, a linear Lie algebra is the image of a Lie algebra representation.Any Lie algebra is a linear Lie algebra in the sense that there is always a faithful representation of (in fact, on a finite-dimensional vector space by Ado's theorem if is itself finite-dimensional.)Let V be a finite-dimensional vector space over a field of characteristic zero and a subalgebra of .".
- Linear_Lie_algebra label "Linear Lie algebra".
- Linear_Lie_algebra sameAs m.0v3ct51.
- Linear_Lie_algebra sameAs Q16977077.
- Linear_Lie_algebra sameAs Q16977077.
- Linear_Lie_algebra wasDerivedFrom Linear_Lie_algebra?oldid=567961529.
- Linear_Lie_algebra isPrimaryTopicOf Linear_Lie_algebra.