Motzkin algebras and the An tensor categories of bimodules

DOI10.1142/S0129167X21500774zbMath1486.46068arXiv2008.04487MaRDI QIDQ5157427

Vaughan F. R. Jones, Jun Yang

Publication date: 18 October 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04487

zbMATH Keywords

representation theorysubfactortensor categoryplanar algebra

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Subfactors and their classification (46L37) Fusion categories, modular tensor categories, modular functors (18M20)

Cites Work

• Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators
• Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\)
• The representation theory of affine Temperley-Lieb algebras
• Loop models, random matrices and planar algebras
• Index for subfactors
• Theory of operator algebras. II
• Amenable tensor categories and their realizations as AFD bimodules
• Two subfactors and the algebraic decomposition of bimodules over II\(_1\) factors
• Motzkin algebras
• Exchange relation planar algebras of small rank
• C*-algebras from planar algebras I: Canonical C*-algebras associated to a planar algebra
• A Formula for the Jones-Wenzl Projections
• Subfactors Constructed from Quantum Groups
• Introduction to Lie Algebras and Representation Theory
• Relations between hypersurface cross ratios, and a combinatorial formula for partitions of a polygon, for permanent preponderance, and for non-associative products
• Introduction to quantum groups
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