The Brauer-Picard group of the Asaeda-Haagerup fusion categories

DOI10.1090/tran/6364zbMath1354.46057arXiv1202.4396OpenAlexW2962799166MaRDI QIDQ2787972

Pinhas Grossman, Noah Snyder

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4396

zbMATH Keywords

subfactorsfusion categoriesquantum subgroups

Mathematics Subject Classification ID

Related Items (18)

Auto-equivalences of the modular tensor categories of type \(A, B, C\) and \(G\) ⋮ The Brauer–Picard groups of fusion categories coming from the ADE subfactors ⋮ Modular data for the extended Haagerup subfactor ⋮ Quantum automorphism groups and \(\mathrm{SO}(3)\)-deformations ⋮ Classification of super-modular categories by rank ⋮ Categorical Lagrangian Grassmannians and Brauer-Picard groups of pointed fusion categories ⋮ The relative Deligne tensor product over pointed braided fusion categories ⋮ 2-supertransitive subfactors at index \(3 + \sqrt{5}\) ⋮ The classification of subfactors of index at most 5 ⋮ Categories generated by a trivalent vertex ⋮ Tensor functors between Morita duals of fusion categories ⋮ 1-supertransitive subfactors with index at most \(6\frac{1}{5}\) ⋮ Equivalences of graded fusion categories ⋮ The Asaeda-Haagerup fusion categories ⋮ Fusion categories associated with subfactors with index $3 + sqrt{5}$ ⋮ Classifying fusion categories \(\otimes\)-generated by an object of small Frobenius-Perron dimension ⋮ The balanced tensor product of module categories ⋮ Cyclic extensions of fusion categories via the Brauer-Picard groupoid

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum subgroups of the Haagerup fusion categories
• Knot polynomial identities and quantum group coincidences
• A quadrilateral in the Asaeda-Haagerup category
• A new duality theory for compact groups
• Fusion categories and homotopy theory
• Quadratic tangles in planar algebras
• The geometry of tensor calculus. I
• Application of fusion rules to classification of subfactors
• Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\)
• A duality for Hopf algebras and for subfactors. I
• A theory of dimension
• Module categories, weak Hopf algebras and modular invariants
• Index for subfactors
• On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
• From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
• C\(^*\)-tensor categories and free product bimodules
• Module categories over representations of \(\text{SL}_q(2)\) and graphs
• Chiral structure of modular invariants for subfactors
• Invariants of 3-manifolds via link polynomials and quantum groups
• On fusion categories.
• On Frobenius algebras in rigid monoidal categories
• CLASSIFICATION OF NONCOMMUTING QUADRILATERALS OF FACTORS
• SU(3)-GOODMAN–DE LA HARPE–JONES SUBFACTORS AND THE REALIZATION OF SU(3) MODULAR INVARIANTS
• Ocneanu Cells and Boltzmann Weights for the SU(3) ADE Graphs
• Entropy and index for subfactors
• On braided tensor categories of typeBCD
• The Witt group of non-degenerate braided fusion categories
• Lectures on operator theory

This page was built for publication: The Brauer-Picard group of the Asaeda-Haagerup fusion categories