Compact Lie algebra
id:
compact-lie-algebra-318-6781644
title:
Compact Lie algebra
text:
In the mathematical field of Lie theory, there are two definitions of a compact Lie algebra. Extrinsically and topologically, a compact Lie algebra is the Lie algebra of a compact Lie group; this definition includes tori. Intrinsically and algebraically, a compact Lie algebra is a real Lie algebra whose Killing form is negative definite; this definition is more restrictive and excludes tori,. A compact Lie algebra can be seen as the smallest real form of a corresponding complex Lie algebra, name
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical theory
original url:
https://en.wikipedia.org/wiki/Compact_Lie_algebra
date created:
date modified:
2024-01-26T18:39:54Z
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fields total:
13
integrity:
15