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- W2743683384 abstract "Let C be a self-dual spherical fusion categories of rank 4 with non-trivial grading. We complete the classification of Grothendieck ring K(C) of C; that is, we prove that K(C) ≅= Fib⊗ℤ[ℤ2], where Fib is the Fibonacci fusion ring and ℤ[ℤ2] is the group ring on ℤ2. In particular, if C is braided, then it is equivalent to Fib⊠ $$Vec_{{mathbb{Z}_2}}^omega $$ as fusion categories, where Fib is a Fibonacci category and $$Vec_{{mathbb{Z}_2}}^omega $$ is a rank 2 pointed fusion category." @default.
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- W2743683384 date "2017-10-30" @default.
- W2743683384 modified "2023-10-04" @default.
- W2743683384 title "Non-trivially graded self-dual fusion categories of rank 4" @default.
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- W2743683384 doi "https://doi.org/10.1007/s10114-017-6375-0" @default.
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