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 $\displaystyle x+iy$