The alternating group: branching rules, products and plethysms for ordinary and spin representations
Luan Dehuai, B. G. Wybourne · Journal of Physics A Mathematical and General · 1981
Practical algorithms are given for calculating all possible Kronecker products involving the spin and ordinary representations of the alternating group A n and for the resolution of Kronecker squares into their symmetric and antisymmetric parts. The representations of A n are classified as to their orthogonal, symplectic or complex characters. Branching rules for S n spin down A n and A n spin down A n-1 are given. Throughout, the emphasis is on obtaining results that obviate the need for explicit character tables and on presenting the results in an n-independent manner.