Isotypic faithful 2-representations of \(\mathcal J\)-simple fiat 2-categories
From MaRDI portal
Publication:907935
DOI10.1007/s00209-015-1546-0zbMath1375.18037arXiv1408.6102OpenAlexW2962841064MaRDI QIDQ907935
Volodymyr Mazorchuk, Vanessa Miemietz
Publication date: 2 February 2016
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.6102
Related Items
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 \(F^*_n\) ⋮ 2-representations and associated coalgebra 1-morphisms for locally wide finitary 2-categories ⋮ Simple transitive 2-representations for some 2-subcategories of Soergel bimodules ⋮ Simple transitive 2-representations of Soergel bimodules in type \(B_{2}\) ⋮ 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 ⋮ Simple transitive 2-representations of some 2-categories of projective functors ⋮ Finitary 2-categories associated with dual projection functors ⋮ 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 ⋮ Group actions on 2-categories ⋮ 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 ⋮ 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 ⋮ 2-categories of symmetric bimodules and their 2-representations ⋮ Diagrams and discrete extensions for finitary 2-representations ⋮ COIDEMPOTENT SUBCOALGEBRAS AND SHORT EXACT SEQUENCES OF FINITARY 2-REPRESENTATIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Morita theory for finitary 2-categories
- An odd categorification of \(U_q(\mathfrak{sl}_2)\)
- The Hodge theory of Soergel bimodules.
- Categorifications of the extended affine Hecke algebra and the affine \(q\)-Schur algebra \(\widehat {\mathbf S} (n,r)\) for \(3 \leq r < n\)
- Symmetric and exterior powers of categories
- A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors
- Categorification of tensor product representations of \(\mathfrak{sl}_k\) and category \(\mathcal{O}\)
- On uniqueness of tensor products of irreducible categorifications
- A categorification of quantum \(\text{sl}(n)\)
- Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
- On fusion categories.
- Transitive $2$-representations of finitary $2$-categories
- Additive versus abelian 2-representations of fiat 2-categories
- Quiver Hecke Algebras and 2-Lie Algebras
- Cell 2-representations of finitary 2-categories
- Gabriel 2-quivers for finitary 2-categories
- The combinatorics of Harish-Chandra bimodules.
- Tensor Categories
