Diagrams and discrete extensions for finitary 2-representations

DOI10.1017/S0305004117000858zbMath1411.18008arXiv1601.00080OpenAlexW3098170724MaRDI QIDQ3121245

Volodymyr Mazorchuk, Aaron C. S. Chan

Publication date: 15 March 2019

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00080

zbMATH Keywords

categorificationSoergel bimoduleKazhdan-Lusztig cell2-representationdiagram of a module

Mathematics Subject Classification ID

Related Items (18)

Finitary birepresentations of finitary bicategories ⋮ 2-representations of small quotients of Soergel bimodules in infinite types ⋮ Simple transitive 2-representations for some 2-subcategories of Soergel bimodules ⋮ Simple transitive 2-representations of 2-categories associated to self-injective cores ⋮ Classification problems in 2-representation theory ⋮ Pyramids and 2-representations ⋮ On simple transitive 2-representations of bimodules over the dual numbers ⋮ Simple transitive 2‐representations of Soergel bimodules for finite Coxeter types ⋮ Weighted colimits of 2-representations and star algebras ⋮ Basic Hopf algebras and symmetric 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 via (co)algebra 1-morphisms ⋮ Characterisation and applications of $\Bbbk$-split bimodules ⋮ Simple transitive 2-representations of bimodules over radical square zero Nakayama algebras via localization ⋮ 2-categories of symmetric bimodules and their 2-representations ⋮ COIDEMPOTENT SUBCOALGEBRAS AND SHORT EXACT SEQUENCES OF FINITARY 2-REPRESENTATIONS

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