Recent content by arg

I don't follow you. Can you be a bit more specific? Do you mean that the basis I listed is not the basis of the homogeneous polynomials of two complex variables? Thanks.

Hi Matt. Thanks for your quick reply. So if the degree of the homogenous polynomials is n the basis is: x^n, x^{n-1}y, x^{n-2}y^2, ... , xy^{n-1}, y^n so it is an n+1 dimensional vector space. I guess the dual basis are the n+1 1-forms, the jth of which eats x^ky^{n-k} and spits out 1 if...

Hi. I am having trouble proving that the irreducible representations of SU(2) are equivalent to their dual representations. The reps I am looking at are the spaces of homogenous polynomials in 2 complex variables of degree 2j (where j is 0, 1/2, 1,...). If f is such a polynomial the action of...