2019 / June Volume 14 No.2
A Brief History of the Positivity Conjecture in Tensor Category
| Published Date |
2019 / June
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|---|---|
| Title | A Brief History of the Positivity Conjecture in Tensor Category |
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| Download | |
| Pagination | 149-153 |
| Abstract | We show the existence of a finite group $G$ having an irreducible character $\chi$ with Frobenius-Schur indicator $\nu_2(\chi){=}{+}1$ such that $\chi^2$ has an irreducible constituent $\varphi$ with $\nu_2(\varphi){=}{-}1$. This provides counterexamples to the positivity conjecture in rational CFT and a conjecture of Zhenghan Wang about pivotal fusion categories.
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| DOI | |
| AMS Subject Classification |
18D10,20G05
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| Received |
2018-04-01
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| Accepted |
2018-04-09
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