(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

i) Show that the Lorentz group has representations on any space [tex]\mathbb{R}^d[/tex]

for

any d = 4n with n = 0, 1, 2, . . .. Show that those with n > 1 are not

irreducible. (Hint: here it might be useful to work with tensors in index

notation and to think of symmetry properties.)

2. Relevant equations

3. The attempt at a solution

I have no idea where to begin, i do however know how to show that they are not irreducible.

I mean if this was R^4 tensor itself n times than i could form rank (n,0) tensors, but this is R^4^n, which has vectors as elements, with 4^n components. Please help

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# Homework Help: Representation of lorentz group

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