Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
LieART`
ProductIrrep |
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Examples
(2)
Basic Examples
(1)
The product irrep (3,) of SU(3)⊗SU(3):
3
In[1]:=
ProductIrrep[Irrep[SU3][3],Irrep[SU3][Bar[3]]]
Out[1]=
(3,)
3
In[2]:=
%//InputForm
Out[2]//InputForm=
ProductIrrep[Irrep[A][1, 0], Irrep[A][0, 1]]
Take for example the left-handed quark doublet in the Standard-Model gauge group SU(3)⊗SU(2)⊗U(1) (The U(1) charge is not typeset in bold face):
In[3]:=
ProductIrrep[Irrep[SU3][3],Irrep[SU2][2],Irrep[U1][1/3]]//TraditionalForm
Out[3]//TraditionalForm=
(3,2)(1/3)
In[4]:=
%//InputForm
Out[4]//InputForm=
ProductIrrep[Irrep[A][1, 0], Irrep[A][1], Irrep[U][1/3]]
Scope
(1)
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