Level bounds for exceptional quantum subgroups in rank two
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Publication:4565061
DOI10.1142/S0129167X18500349zbMath1390.81255arXiv1706.02265OpenAlexW2623590939WikidataQ130060889 ScholiaQ130060889MaRDI QIDQ4565061
Publication date: 7 June 2018
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.02265
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Modular representations and characters (20C20) Modular Lie (super)algebras (17B50)
Related Items (8)
The Witt classes of so(2r)2r ⋮ Auto-equivalences of the modular tensor categories of type \(A, B, C\) and \(G\) ⋮ Subfactors and mathematical physics ⋮ Norm, trace, and formal codegrees of fusion categories ⋮ Prime decomposition of modular tensor categories of local modules of type D ⋮ Lie theory for fusion categories: A research primer ⋮ Classifying fusion categories \(\otimes\)-generated by an object of small Frobenius-Perron dimension ⋮ Higher Gauss sums of modular categories
Cites Work
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- Quantum subgroups of the Haagerup fusion categories
- Consistent systems of correlators in non-semisimple conformal field theory
- Conformal field theory
- Comments about quantum symmetries of \(\text{SU}(3)\) graphs
- Anyon condensation and tensor categories
- On braided fusion categories. I
- Quantum symmetries for exceptional \(SU(4)\) modular invariants associated with conformal embeddings
- Infinite-dimensional Lie algebras, theta functions and modular forms
- The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
- Module categories, weak Hopf algebras and modular invariants
- TFT construction of RCFT correlators. I: Partition functions
- On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
- Fusion categories arising from semisimple Lie algebras
- An equivalence of fusion categories
- On the structure of the Witt group of braided fusion categories
- On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
- Chiral structure of modular invariants for subfactors
- Braided tensor categories and extensions of vertex operator algebras
- Classification of \(\mathfrak{sl}_3\) relations in the Witt group of nondegenerate braided fusion categories
- Bicategories for boundary conditions and for surface defects in 3-d TFT
- On fusion categories.
- Johann Faulhaber and Sums of Powers
- QUANTUM GROUPS AT ROOTS OF UNITY AND MODULARITY
- The Witt group of non-degenerate braided fusion categories
- Exceptional quantum subgroups for the rank two Lie algebras B2 and G2
- Tensor Categories
- Introduction to Lie Algebras and Representation Theory
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