Linear Lie algebra
id:
linear-lie-algebra-199-7310923
title:
Linear Lie algebra
text:
In algebra, a linear Lie algebra is a subalgebra g of the Lie algebra g l 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 g Let V be a finite-dimensional vector space over a field of characteristic zero and g a subalgebra of g l . Then V is semisimple as a module over g if and only if (i) it is a direct sum of t
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Linear_Lie_algebra
date created:
date modified:
2022-02-15T15:08:40Z
main entity:
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fields total:
13
integrity:
13