Does anybody know whether the following irreducible representations of SU(2) are unitary?(adsbygoogle = window.adsbygoogle || []).push({});

g belongs to SU(2)

[tex][U_j(g) f](v) = f(g^{-1} v)[/tex]

f is an order-2j homogeneous complex polynomial of two complex variables v = (x, y)

e.g. for [tex]j = 1[/tex], [tex]f = 2x^2 + 3xy + 4y^2[/tex]

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# Finite Dimensional Representation of SU(2)

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