Tensor Products in Lorentz- and SU(2)-Group

This Mathematica notebook features overloaded CirclePlus and CircleTimes operators, to obtain irreducible representations of products of the Lorentz- or SU(2) group.

For example you can find the Lorentz and spin decomposition of the Rarita Schwinger field

[In] (1⨁0) ⊗ 1/2
[Out] 1/2 ⨁ 1/2 ⨁ 3/2

[In] {1/2, 1/2} ⊗ ({1/2, 0} ⨁ {0, 1/2})
[Out] {0, 1/2} ⨁ {1/2, 0} ⨁ {1/2, 1} ⨁{1, 1/2}