dorsal/arxiv
View SchemaS_4-symmetry of 6j-symbols and Frobenius-Schur indicators in rigid monoidal C^*-categories
| Authors | J. Fuchs, A. Ch. Ganchev, K. Szlachanyi, P. Vecsernyes |
|---|---|
| Categories | |
| ArXiv ID | physics/9803038 |
| URL | https://arxiv.org/abs/physics/9803038 |
| DOI | 10.1063/1.532778 |
Abstract
We show that a left-rigid monoidal C^*-category with irreducible monoidal unit is also a sovereign and spherical category. Defining a Frobenius-Schur type indicator we obtain selection rules for the fusion coefficients of irreducible objects. As a main result we prove S_4-invariance of 6j-symbols in such a category.
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"abstract": "We show that a left-rigid monoidal C^*-category with irreducible monoidal\nunit is also a sovereign and spherical category. Defining a Frobenius-Schur\ntype indicator we obtain selection rules for the fusion coefficients of\nirreducible objects. As a main result we prove S_4-invariance of 6j-symbols in\nsuch a category.",
"arxiv_id": "physics/9803038",
"authors": [
"J. Fuchs",
"A. Ch. Ganchev",
"K. Szlachanyi",
"P. Vecsernyes"
],
"categories": [
"math-ph",
"math.MP",
"math.QA"
],
"doi": "10.1063/1.532778",
"title": "S_4-symmetry of 6j-symbols and Frobenius-Schur indicators in rigid monoidal C^*-categories",
"url": "https://arxiv.org/abs/physics/9803038"
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