The maximal available symmetry of classical q-state potts model is not Z_q but S_q

[Chenqitrg]

Hi,

In #149, symmetry of a model is added as a parameter, and the default one is the maximal available symmetry.
For the classical q-state Potts model, currently it is only protected by $\mathbb{Z}_q$, while it can at least be protected by $S_q$, which includes $\mathbb{Z}_q$ as a subgroup.

[VictorVanthilt]

But to my knowledge this group is not implemented in TensorKit, am I wrong?

[Chenqitrg]

To my knowledge, it is not implemented.

[Chenqitrg]

OK I see the point. I understand the phrase "maximally available" wrongfully as: maximally available symmetry of the model, while You guys mean the maximally available symmetry in TensorKit.

[VictorVanthilt]

Yes exactly!

[borisdevos]

There is this package which provides the irreps of S_Q. We considered using this when studying 5-state Potts, but ended up just using Z_5 since that was sufficient for us.