Two-color Soergel Calculus and Simple Transitive 2-representations
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Publication:5243500
DOI10.4153/CJM-2017-061-2MaRDI QIDQ5243500
Daniel Tubbenhauer, Marco Mackaay
Publication date: 18 November 2019
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00962
categorification2-representation theorySoergel bimoduleKazhdan-Lusztig theoryzigzag algebraHecke algebras for dihedral groups
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) 2-categories, bicategories, double categories (18N10) Braided monoidal categories and ribbon categories (18M15)
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2-representations of small quotients of Soergel bimodules in infinite types, Pyramids and 2-representations, Asymptotics in finite monoidal categories, On simple transitive 2-representations of bimodules over the dual numbers, Simple transitive 2‐representations of Soergel bimodules for finite Coxeter types, Evaluation birepresentations of affine type \(A\) Soergel bimodules, Monoidal categories, representation gap and cryptography, Curves in the disc, the type \(B\) braid group, and a type \(B\) zigzag algebra, Bimodules over uniformly oriented \(A_n\) quivers with radical square zero, ANALOGUES OF CENTRALIZER SUBALGEBRAS FOR FIAT 2-CATEGORIES AND THEIR 2-REPRESENTATIONS, Algebraic properties of zigzag algebras, Simple transitive 2-representations via (co)algebra 1-morphisms, Characterisation and applications of $\Bbbk$-split bimodules, 2-categories of symmetric bimodules and their 2-representations, COIDEMPOTENT SUBCOALGEBRAS AND SHORT EXACT SEQUENCES OF FINITARY 2-REPRESENTATIONS
Cites Work
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- Simple transitive 2-representations for some 2-subcategories of Soergel bimodules
- Simple transitive 2-representations of Soergel bimodules in type \(B_{2}\)
- Quantum Satake in type \(A\). I
- Spectra of graphs
- A general coherence result
- Module categories, weak Hopf algebras and modular invariants
- On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
- The strong linkage principle for quantum groups at roots of 1.
- Diagram categories for \(\mathrm{U}_q\)-tilting modules at roots of unity
- Quivers, Floer cohomology, and braid group actions
- The two-color Soergel calculus
- Transitive $2$-representations of finitary $2$-categories
- Categorical action of the extended braid group of affine type A
- Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
- Cell 2-representations of finitary 2-categories
- QUANTUM GROUPS AT ROOTS OF UNITY AND MODULARITY
- Endomorphisms of Cell 2-Representations
- Introduction to bicategories
- CATEGORIFICATIONS OF THE COLORED JONES POLYNOMIAL
- Trihedral Soergel bimodules
- Simple transitive 2-representations via (co)algebra 1-morphisms
- A category for the adjoint representation