Results 21 to 30 of about 719 (134)
Classification of Thurston relation subfactor planar algebras [PDF]
Quantum Topology, 2019 Bisch and Jones proposed the classification of planar algebras by simple generators and relations. They investigated with the second author the classification of planar algebras generated by 2-boxes. In this paper, we classify singly-generated Thurston-relation planar algebras, defined as subfactor planar algebras generated by a 3-box ...
Corey Jones, Zhengwei Liu, Yunxiang Ren
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The Classification of Subfactors with Index at Most 5\frac{1}4
Memoirs of the American Mathematical Society, 2023 Subfactor standard invariants encode quantum symmetries. The small index subfactor classification program has been a rich source of interesting quantum symmetries. We give the complete classification of subfactor standard invariants to index
Afzaly, Narjess +2 more
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Topological Quantum Field Theories from Spherical Fusion Categories
, 2022 The main topic of this work is the Turaev-Viro construction of a 3-dimensopnal topological quantum field theory (TQFT). We begin by giving a description of spherical fusion categories an it's associated graphical calculus.
Ruiz Pineda, Felipe Fernando
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The classification of subfactors of index at most 5
Bulletin of the American Mathematical Society, 2013 A subfactor is an inclusion N ⊂ M
Jones, Vaughan F R +2 more
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The classification of $3^n$ subfactors and related fusion categories [PDF]
Quantum Topology, 2018 We investigate a (potentially infinite) series of subfactors, called 3^n subfactors , including A_4 , A_7 , and the Haagerup subfactor as the first three members ...
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Remarks on Automorphisms of Subfactors
, 1994 We establish certain properties of automorphisms on an inclusion of AFD type II1 factors with finite index and finite depth and discuss their applications to the classification problem of AFD type III subfactors, including a different proof of a result ...
Loi, Phan, Phan H. Loi
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Classification of Paragroup Actions on Subfactors
Publications of the Research Institute for Mathematical Sciences, 1995 We define “a crossed product by a paragroup action on a subfactor” as a certain commuting square of type \mathrm{II}_1 factors and give their complete classification in a strongly amenable case (in the sense of S.
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Linking RDoC and HiTOP: A new interface for advancing psychiatric nosology and neuroscience
, 2021 The Research Domain Criteria (RDoC) and the Hierarchical Taxonomy of Psychopathology (HiTOP) represent major dimensional frameworks proposing two alternative approaches to accelerate progress in the way psychopathology is studied, classified, and treated.
Isabella M. Palumbo +9 more
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Application of Fusion Rules to Classification of Subfactors
Publications of the Research Institute for Mathematical Sciences, 1991 By the technique of Longo's sector, the following two results are obtained. (1) A proof is given to Ocneanu's announcement about the non-existence of paragroups for Coxeter graphs _E_7 and _D_odd. (2) Subfactors of the type III1 AFD factor with index 3 are classified.
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Classification of actions of discrete amenable groups on strongly amenable subfactors of type III_{𝜆} [PDF]
Proceedings of the American Mathematical Society, 1999 Using the continuous decomposition, we classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type III λ
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