Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras
From MaRDI portal
Publication:713083
DOI10.2977/PRIMS/78zbMath1252.05220arXiv1111.5898OpenAlexW2054132841MaRDI QIDQ713083
Publication date: 26 October 2012
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.5898
Combinatorial aspects of representation theory (05E10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Representation theory of associative rings and algebras (16G99)
Related Items (13)
Representation type of finite quiver Hecke algebras of type \(C^{(1)}_{l}\) ⋮ Representation type of finite quiver Hecke algebras of type \(A_{2\ell}^{(2)}\). ⋮ Representation type of cyclotomic quiver Hecke algebras of type \(A_\ell^{(1)}\) ⋮ 𝑝-DG Cyclotomic nilHecke Algebras ⋮ 𝑝-DG Cyclotomic nilHecke Algebras II ⋮ Categorical actions on unipotent representations of finite classical groups ⋮ On the structure of cyclotomic nilHecke algebras ⋮ Representation type for block algebras of Hecke algebras of classical type ⋮ Representation type of finite quiver Hecke algebras of type $D^{(2)}_{\ell +1}$ ⋮ TAME BLOCK ALGEBRAS OF HECKE ALGEBRAS OF CLASSICAL TYPE ⋮ Cyclotomic quiver Hecke algebras corresponding to minuscule representations ⋮ Transitive $2$-representations of finitary $2$-categories ⋮ An odd categorification of \(U_q(\mathfrak{sl}_2)\)
Cites Work
- A categorification of quantum \(\mathfrak{sl}(2)\)
- Crystals from categorified quantum groups
- Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras
- Graded decomposition numbers for cyclotomic Hecke algebras.
- Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Global crystal bases of quantum groups
- On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
- Hecke algebras at roots of unity and crystal bases of quantum affine algebras
- A categorification of quantum \(\text{sl}(n)\)
- Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
- Implicit structure in 2-representations of quantum groups
- Highest weight categories arising from Khovanov’s diagram algebra III: category 𝒪
- A diagrammatic approach to categorification of quantum groups II
- Canonical bases and KLR-algebras
- A diagrammatic approach to categorification of quantum groups I
- Introduction to quantum groups
This page was built for publication: Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras