Reconstructing algebra objects from NIM-reps in pointed, near-group and quantum group-like fusion categories
| Autor: | Hannah, Samuel, Camacho, Ana Ros, Young, with an appendix with Devi |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this article we study the possible Morita equivalence classes of algebras in three families of fusion categories (pointed, near-group and $A \left( 1,l \right)_{\frac{1}{2}}$) by studying the Non-negative Integer Matrix representations (NIM-reps) of their underlying fusion ring, and compare these results with existing classification results of algebra objects. Also, in an appendix we include a test of the exponents conjecture for modular tensor categories of rank up to 4. Comment: Comments welcome! |
| Databáze: | arXiv |
| Externí odkaz: |
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