Classification of module categories for \(SO (3)_{2m} \)

DOI10.1016/j.aim.2021.107713OpenAlexW3145496020MaRDI QIDQ2237349

Mathew Pugh, David E. Evans

Publication date: 27 October 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07714

zbMATH Keywords

subfactorsmodule categoriesmodular tensor categoriesquantum subgroups\(\operatorname{SO}(3)\)

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Quantum field theory; related classical field theories (81Txx) Lie algebras and Lie superalgebras (17Bxx)

Related Items (2)

Subfactors and mathematical physics ⋮ Antisymmetric characters and Fourier duality

Cites Work

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• The Nakayama automorphism of the almost Calabi-Yau algebras associated to \(\mathrm{SU}(3)\) modular invariants
• Categories generated by a trivalent vertex
• Link invariants, the chromatic polynomial and the Potts model
• Supersymmetric WZW models and twisted \(K\)-theory of SO(3)
• Fusion of symmetric D-branes and Verlinde rings
• On endomorphisms of quantum tensor space
• Skein theory for the \(D_{2n}\) planar algebras
• State models and the Jones polynomial
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Hecke algebras of type \(A_ n\) and subfactors
• The Kauffman polynomial of links and representation theory
• Model algebras and representations of graphs
• Application of fusion rules to classification of subfactors
• The partition algebras and a new deformation of the Schur algebras
• New braided endomorphisms from conformal inclusions
• Modular invariants. Graphs and \(\alpha\)-induction for nets of subfactors. II
• The classification of affine \(SU(3)\) modular invariant partition functions
• Orbifold subfactors from Hecke algebras
• Zeros and orthogonality of the Askey-Wilson polynomials for \(q\) a root of unity
• Module categories, weak Hopf algebras and modular invariants
• A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl)
• Modular invariants from subfactors: type I coupling matrices and intermediate subfactors
• Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. III
• 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
• Module categories over representations of \(\text{SL}_q(2)\) and graphs
• A matrix \(S\) for all simple current extensions
• Spiders for rank 2 Lie algebras
• Positive energy representations of the loop groups of non-simply connected Lie groups
• On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
• Chiral structure of modular invariants for subfactors
• Stable categories of higher preprojective algebras.
• Quiver varieties and Lusztig's algebra.
• FUSION RULES FOR EXTENDED CURRENT ALGEBRAS
• A Temperley–Lieb Analogue for the BMW Algebra
• SIMPLE CURRENTS, MODULAR INVARIANTS AND FIXED POINTS
• 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
• The Brauer–Picard groups of fusion categories coming from the ADE subfactors
• Braids, Link Polynomials and a New Algebra
• Tensor Categories
• Twisted equivariantK-theory with complex coefficients
• Quantum invariants of knots and 3-manifolds

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