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Thread: Prove group homomorphism

  1. #1
    Newbie pc31's Avatar
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    Prove group homomorphism

    Prove group homomorphism between SL(2,C) and L(4,R)

    Thanks!
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by pc31 View Post
    Prove group homomorphism between SL(2,C) and L(4,R)

    Thanks!
    What's $\displaystyle \text{L}(4,\mathbb{R})$? Probably you meant $\displaystyle \text{SL}(4,\mathbb{R})$.

    So, what's natural? Why has two become four? Think about the information gained when just having a complex number $\displaystyle z$ to describing it as $\displaystyle x+iy$
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