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{"slip": { "id": 174, "advice": "Be a good lover."}}
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{"type":"general","setup":"While I was sleeping my friends decided to write math equations on me.","punchline":"You should have seen the expression on my face when I woke up.","id":402}
{"type":"general","setup":"What did one nut say as he chased another nut?","punchline":"I'm a cashew!","id":160}
{"type":"standard","title":"Cartan subalgebra","displaytitle":"Cartan subalgebra","namespace":{"id":0,"text":""},"wikibase_item":"Q2912114","titles":{"canonical":"Cartan_subalgebra","normalized":"Cartan subalgebra","display":"Cartan subalgebra"},"pageid":1336000,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/1/14/E8Petrie.svg/330px-E8Petrie.svg.png","width":320,"height":321},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/1/14/E8Petrie.svg/2852px-E8Petrie.svg.png","width":2852,"height":2863},"lang":"en","dir":"ltr","revision":"1277056297","tid":"10797295-f10e-11ef-9d84-e04aa84eb29e","timestamp":"2025-02-22T11:13:38Z","description":"Nilpotent subalgebra of a Lie algebra","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Cartan_subalgebra","revisions":"https://en.wikipedia.org/wiki/Cartan_subalgebra?action=history","edit":"https://en.wikipedia.org/wiki/Cartan_subalgebra?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Cartan_subalgebra"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Cartan_subalgebra","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Cartan_subalgebra","edit":"https://en.m.wikipedia.org/wiki/Cartan_subalgebra?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Cartan_subalgebra"}},"extract":"In mathematics, a Cartan subalgebra, often abbreviated as CSA, is a nilpotent subalgebra of a Lie algebra that is self-normalising. They were introduced by Élie Cartan in his doctoral thesis. It controls the representation theory of a semi-simple Lie algebra over a field of characteristic .","extract_html":"
In mathematics, a Cartan subalgebra, often abbreviated as CSA, is a nilpotent subalgebra ![](\"https://wikimedia.org/api/rest_v1/media/math/render/svg/b8f80a9d9b4cf9b0b6f562d5eff0f290da478ebe\")
![](\"https://wikimedia.org/api/rest_v1/media/math/render/svg/40a913b1503ed9ec94361b99f7fd59ef60705c28\")
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