Classifying braidings on fusion categories
| Autor: | Dmitri Nikshych |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Fusion Center (category theory) Mathematics::Geometric Topology 18D10 16W30 symbols.namesake Physics::Plasma Physics Transversal (combinatorics) Mathematics::Quantum Algebra Mathematics::Category Theory Mathematics - Quantum Algebra symbols FOS: Mathematics Quantum Algebra (math.QA) Algebra over a field Representation Theory (math.RT) Lagrangian Mathematics - Representation Theory Mathematics |
| Popis: | We show that braidings on a fusion category $\mathcal{C}$ correspond to certain fusion subcategories of the center of $\mathcal{C}$ transversal to the canonical Lagrangian algebra. This allows to classify braidings on non-degenerate and group-theoretical fusion categories. 14 pages, minor corrections, new references added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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