Cartan's criterion
id:
cartan-s-criterion-258-4569073
title:
Cartan's criterion
text:
In mathematics, Cartan's criterion gives conditions for a Lie algebra in characteristic 0 to be solvable, which implies a related criterion for the Lie algebra to be semisimple. It is based on the notion of the Killing form, a symmetric bilinear form on g defined by the formula where tr denotes the trace of a linear operator. The criterion was introduced by Élie Cartan (1894).
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https://en.wikipedia.org/wiki/Cartan%27s_criterion
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date modified:
2024-01-20T15:22:55Z
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