Orthogonal symmetric Lie algebra
id:
orthogonal-symmetric-lie-algebra-289-6514919
title:
Orthogonal symmetric Lie algebra
text:
In mathematics, an orthogonal symmetric Lie algebra is a pair consisting of a real Lie algebra g and an automorphism s of g of order 2 such that the eigenspace u of s corresponding to 1 is a compact subalgebra. If "compactness" is omitted, it is called a symmetric Lie algebra. An orthogonal symmetric Lie algebra is said to be effective if u intersects the center of g trivially. In practice, effectiveness is often assumed; we do this in this article as well. The canonical example is the Lie algeb
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wiki
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encyclopedia
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https://en.wikipedia.org/wiki/Orthogonal_symmetric_Lie_algebra
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date modified:
2022-06-12T19:12:13Z
main entity:
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