Restriction and induction of indecomposable modules over the Temperley–Lieb algebras

DOI10.1088/1751-8121/aa993azbMath1387.82051arXiv1605.05159OpenAlexW2401774783MaRDI QIDQ4606159

Jonathan Belletête, Yvan Saint-Aubin, David Ridout

Publication date: 1 March 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05159

zbMATH Keywords

indecomposable modulesTemperley-Lieb algebrainjective modulesAuslander-Reiten theoryextension groupsdilute Temperley-Lieb algebranon-semisimple associative algebras

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Statistical mechanics of crystals (82D25) General theory of von Neumann algebras (46L10) Ordered rings, algebras, modules (06F25)

Related Items (6)

On the computation of fusion over the affine Temperley-Lieb algebra ⋮ A fusion for the periodic Temperley-Lieb algebra and its continuum limit ⋮ Tilting modules and exceptional sequences for leaf quotients of type \(A\) zig-zag algebras ⋮ Preservation of Loewy diagrams under exact functors ⋮ On the representation theory of the infinite Temperley–Lieb algebra ⋮ Bosonic ghostbusting: the bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion

Cites Work

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• The idempotents of the TL\(_n\)-module \(\otimes^n\mathbb C2\) in terms of elements of \(\mathrm{U}_q\mathfrak{sl}_2\)
• Dimer representations of the Temperley-Lieb algebra
• Hecke algebras of type \(A_ n\) and subfactors
• The blob algebra and the periodic Temperley-Lieb algebra
• The Temperley-Lieb algebra at roots of unity
• The representation theory of affine Temperley-Lieb algebras
• Index for subfactors
• The representation theory of the Temperley-Lieb algebras
• Cellular algebras
• Lattice fusion rules and logarithmic operator product expansions
• On the structure of the blob algebra
• Standard modules, induction and the structure of the Temperley-Lieb algebra
• Associative-algebraic approach to logarithmic conformal field theories
• The principal indecomposable modules of the dilute Temperley-Lieb algebra
• Integrability and conformal data of the dimer model
• The fusion rules for the Temperley–Lieb algebra and its dilute generalization
• ON SCHUR-WEYL DUALITY, A_n HECKE ALGEBRAS AND QUANTUM sl(N) ON $\otimes^{n+1}{\mathbb C}^N$
• On the correspondence between boundary and bulk lattice models and (logarithmic) conformal field theories
• An Invariant of Regular Isotopy
• A category for the adjoint representation
• Boundary algebras and Kac modules for logarithmic minimal models

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