Dimensional name of the anti-fundamental representation of SU(3):
In[1]:=
DimName[Irrep[A][0,1]]
Out[1]=
3
Dimensional name of the conjugated spinor representation of SO(10), i.e.,
D
5
in Dynkin classification:
In[2]:=
DimName[Irrep[D][0,0,0,1,0]]
Out[2]=
16
Dimensional name of the conjugated third 175-dimensional irrep of SU(5). The number of "primes" of an irrep is determined by its position when ordering the same-dimension irreps by their indices: