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I'm trying to decompose a representation of [tex] GL(2,C) [/tex] on [tex]C^2\otimes Sym^{N-2}(C^2)[/tex] into IRREPS and I'm wondering if there's anything similar to Clebsh-Gordan coefficients which could assist one in this task?

Any good references one could point out?

Happy holidays!

P.S.: action is described as [tex] g(v\otimes w) := g(v)\otimes g(w)[/tex], and '[tex]Sym^{N-2}(C^2)[/tex] ' is thought as homogeneous polynomials of degree (N-2) in two variables.

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# Rep tensor product of GL(2,C)

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