The vector product in C³ is a three dimensional Lie algebra. Taking the standard basis (e_1,e_2,e_3) of C³, the brackets can be defined by the relations:(adsbygoogle = window.adsbygoogle || []).push({});

[e_1,e_2]=e_3 [e_1,e_3]=-e_2 [e_2,e_3]=e_1

That what my book says, but I don't get. But what does the author mean here with the standard basis of C³?

thank you

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# Vector product in C³

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