Relation between R(SU(2)) and R(SO(3))

It is well known that Spin(n) is the double cover of SO(n). Representations of SO(n) can be viewed as representations of Spin(n). If π : Spin(n) → SO(n) is the double covering map, then some representation of Spin(n) is also a representation of SO(n) such that π(g) is the identity map for g in ker π. This motivates the investigation of the relationship between their representation rings. In this thesis, focus is put on the special case of n = 3