Simple transitive 2-representations of Soergel bimodules in type \(B_{2}\)

DOI10.1016/j.jpaa.2016.07.011zbMath1360.18008arXiv1509.01441OpenAlexW2963786116MaRDI QIDQ338237

Jakob Zimmermann

Publication date: 4 November 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01441

zbMATH Keywords

cell \(2\)-representation\(2\)-categorycoinvariant algebraleft cellsimple transitive \(2\)-representationSoergel bimodule

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (18)

Fiat categorification of the symmetric inverse semigroup \(IS_n\) and the semigroup \(F^*_n\) ⋮ Simple transitive 2-representations for some 2-subcategories of Soergel bimodules ⋮ Classification problems in 2-representation theory ⋮ Pyramids and 2-representations ⋮ On simple transitive 2-representations of bimodules over the dual numbers ⋮ Evaluation birepresentations of affine type \(A\) Soergel bimodules ⋮ Bimodules over uniformly oriented \(A_n\) quivers with radical square zero ⋮ ANALOGUES OF CENTRALIZER SUBALGEBRAS FOR FIAT 2-CATEGORIES AND THEIR 2-REPRESENTATIONS ⋮ Simple transitive 2-representations of small quotients of Soergel bimodules ⋮ Simple transitive 2-representations of left cell 2-subcategories of projective functors for star algebras ⋮ Cell 2-representations and categorification at prime roots of unity ⋮ Simple transitive 2-representations via (co)algebra 1-morphisms ⋮ Characterisation and applications of $\Bbbk$-split bimodules ⋮ Counting Quasi-Idempotent Irreducible Integral Matrices ⋮ Two-color Soergel Calculus and Simple Transitive 2-representations ⋮ Simple transitive 2-representations for two nonfiat 2-categories of projective functors ⋮ Diagrams and discrete extensions for finitary 2-representations ⋮ COIDEMPOTENT SUBCOALGEBRAS AND SHORT EXACT SEQUENCES OF FINITARY 2-REPRESENTATIONS

Cites Work

• Morita theory for finitary 2-categories
• Categorification of the Catalan monoid.
• The Hodge theory of Soergel bimodules.
• Lectures on algebraic categorification
• Isotypic faithful 2-representations of \(\mathcal J\)-simple fiat 2-categories
• Representations of Coxeter groups and Hecke algebras
• A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors
• On multisemigroups.
• Simple transitive 2-representations and Drinfeld center for some finitary 2-categories
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• Duflo involutions for 2-categories associated to tree quivers
• Additive versus abelian 2-representations of fiat 2-categories
• Cell 2-representations of finitary 2-categories
• Singular Soergel Bimodules
• Gabriel 2-quivers for finitary 2-categories
• The combinatorics of Harish-Chandra bimodules.
• Endomorphisms of Cell 2-Representations
• Koszul duality and Soergel bimodules for dihedral groups
• Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe
• Hecke Algebras with Unequal Parameters
• KAZHDAN-LUSZTIG-POLYNOME UND UNZERLEGBARE BIMODULN ÜBER POLYNOMRINGEN
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