Categorical crystals for quantum affine algebras
From MaRDI portal
Publication:2093201
DOI10.1515/crelle-2022-0061OpenAlexW4307279024MaRDI QIDQ2093201
Euiyong Park, Masaki Kashiwara
Publication date: 7 November 2022
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.07255
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Crystals from categorified quantum groups
- Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras
- Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV
- Finite dimensional representations of Khovanov-Lauda-Rouquier algebras. I: Finite type
- Young tableaux, multisegments, and PBW bases
- Hecke-Clifford superalgebras and crystals of type \(D_l^{(2)}\)
- Cluster algebras and quantum affine algebras
- Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Quantum affine algebras
- Quantum affine algebras and holonomic difference equations
- Global crystal bases of quantum groups
- Finite-dimensional representations of quantum affine algebras
- Twisted quantum affine algebras
- On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
- Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras
- Monoidal categories associated with strata of flag manifolds
- Affinizations and R-matrices for quiver Hecke algebras
- Standard modules of quantum affine algebras
- On level-zero representation of quantized affine algebras.
- Parameterizing Hecke algebra modules: Bernstein-Zelevinsky multisegments, Kleshchev multipartitions, and crystal graphs.
- Quantum Grothendieck rings and derived Hall algebras
- Q-data and representation theory of untwisted quantum affine algebras
- Categorical relations between Langlands dual quantum affine algebras: doubly laced types
- Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras
- Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II
- Categorical relations between Langlands dual quantum affine algebras: exceptional cases
- Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras
- Hecke-Clifford superalgebras, crystals of type 𝐴_{2ℓ}⁽²⁾ and modular branching rules for ̂𝑆_{𝑛}
- Quiver Hecke Algebras and 2-Lie Algebras
- Crystal Bases
- A diagrammatic approach to categorification of quantum groups II
- Canonical bases and KLR-algebras
- Monoidal categorification of cluster algebras
- A diagrammatic approach to categorification of quantum groups I
- Branching rules for modular representations of symmetric groups, II.
- Quiver varieties and finite dimensional representations of quantum affine algebras
- Simplicity of heads and socles of tensor products
- Simply laced root systems arising from quantum affine algebras
- Monoidal categorification and quantum affine algebras
- Laurent phenomenon and simple modules of quiver Hecke algebras
- Introduction to quantum groups