Partition function of Chern-Simons theory as renormalized q-dimension

We calculate q-dimension of kth Cartan power of fundamental representation Λ0, corresponding to affine root of affine simply laced Kac-Moody algebras, and show that in the limit q→1, and with natural renormalization, it is equal to universal partition function of Chern-Simons theory on three-dimensional sphere.