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**Homework Statement:**please, could you help me to know hoe I compute the Casimir element of lie algebra sl(2), I know the basis and their relations, but i could not find the book explain in details how we get the Casimir element.. I think it is related to killing form, but also I could not find the final matrix( as you see in attachment).

I would appreciate if you could help

thank in advance,

**Relevant Equations:**Casimir element is : C= 4FE+H(H+2)

I have attached the file

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