Additive versus abelian 2-representations of fiat 2-categories
From MaRDI portal
Publication:2876654
zbMath1342.17003arXiv1112.4949MaRDI QIDQ2876654
Vanessa Miemietz, Volodymyr Mazorchuk
Publication date: 19 August 2014
Full work available at URL: https://arxiv.org/abs/1112.4949
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Preadditive, additive categories (18E05)
Related Items (36)
Finitary birepresentations of finitary bicategories ⋮ 2-representations of small quotients of Soergel bimodules in infinite types ⋮ Parabolic projective functors in type \(A\) ⋮ Fiat categorification of the symmetric inverse semigroup \(IS_n\) and the semigroup \(F^*_n\) ⋮ Gabriel 2-quivers for finitary 2-categories ⋮ Simple transitive 2-representations for some 2-subcategories of Soergel bimodules ⋮ Simple transitive 2-representations of Soergel bimodules in type \(B_{2}\) ⋮ Multisemigroups with multiplicities and complete ordered semi-rings ⋮ Simple transitive 2-representations of 2-categories associated to self-injective cores ⋮ Simple transitive 2-representations and Drinfeld center for some finitary 2-categories ⋮ Classification problems in 2-representation theory ⋮ Pyramids and 2-representations ⋮ Adjunction in the absence of identity ⋮ 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 ⋮ Simple transitive 2-representations of some 2-categories of projective functors ⋮ Isotypic faithful 2-representations of \(\mathcal J\)-simple fiat 2-categories ⋮ Finitary 2-categories associated with dual projection functors ⋮ Bimodules over uniformly oriented \(A_n\) quivers with radical square zero ⋮ Categorification of the Catalan monoid. ⋮ 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 ⋮ Duflo involutions for 2-categories associated to tree quivers ⋮ Cell 2-representations and categorification at prime roots of unity ⋮ Cell structure of bimodules over radical square zero Nakayama algebras ⋮ The periplectic Brauer algebra. III: The Deligne category ⋮ Transitive $2$-representations of finitary $2$-categories ⋮ Simple transitive 2-representations via (co)algebra 1-morphisms ⋮ Characterisation and applications of $\Bbbk$-split bimodules ⋮ 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 ⋮ Morita theory for finitary 2-categories
This page was built for publication: Additive versus abelian 2-representations of fiat 2-categories