http://dbpedia-live.openlinksw.com:8891/sparql?query=define%20sql%3Adescribe-mode%20%22CBD%22%20%20DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FCartan%27s_criterion%3E&output=application%2Fatom%2Bxml2021-05-15T02:06:35.937732ZOData Service and Descriptor Documenthttp://dbpedia.org/resource/Cartan's_criterion2021-05-15T02:06:35.937732Z30526682020-11-10 19:09:02Z5685In 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 defined by the formula where tr denotes the trace of a linear operator. The criterion was introduced by Élie Cartan ().2021-04-22 05:17:37Z2020-11-10 19:08:56Z9880486635674Cartan's criterion940517069101922704322In 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 defined by the formula where tr denotes the trace of a linear operator. The criterion was introduced by Élie Cartan ().2020-02-13 00:42:22Z2020-02-13 00:42:19Z2021-04-22 05:17:40Z