\(t\)-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras
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Publication:6119798
DOI10.1016/j.aim.2024.109551arXiv2302.08700OpenAlexW4392010485MaRDI QIDQ6119798
Publication date: 25 March 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.08700
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Connections of Hopf algebras with combinatorics (16T30)
Cites Work
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- Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality
- Representations of quiver Hecke algebras via Lyndon bases.
- Representations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words.
- Langlands duality for finite-dimensional representations of quantum affine algebras
- On the derived category of a finite-dimensional algebra
- Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV
- Finite dimensional representations of Khovanov-Lauda-Rouquier algebras. I: Finite type
- The denominators of normalized \(R\)-matrices of types \(A_{2n-1}^{(2)}\), \(A_{2n}^{(2)}\), \(B_{n}^{(1)}\) and \(D_{n+1}^{(2)}\)
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Perfect crystals of quantum affine Lie algebras
- Finite-dimensional representations of quantum affine algebras
- Deformations of \(W\)-algebras associated to simple Lie algebras
- On commutation classes of reduced words in Weyl groups
- 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.
- Algebraic approach to \(q,t\)-characters
- Quantum Grothendieck rings and derived Hall algebras
- Q-data and representation theory of untwisted quantum affine algebras
- Graded quiver varieties and singularities of normalized R-matrices for fundamental modules
- Localizations for quiver Hecke algebras
- Isomorphisms among quantum Grothendieck rings and propagation of positivity
- 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
- Poincaré-Birkhoff-Witt bases and Khovanov-Lauda-Rouquier algebras
- Homological properties of finite-type Khovanov-Lauda-Rouquier algebras.
- Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras
- Auslander-Reiten quiver and representation theories related to KLR-type Schur-Weyl duality
- The \((q, t)\)-Cartan matrix specialized at \(q=1\) and its applications
- Quiver Hecke Algebras and 2-Lie Algebras
- A diagrammatic approach to categorification of quantum groups II
- Canonical bases and KLR-algebras
- Monoidal categorification of cluster algebras
- Canonical Bases Arising from Quantized Enveloping Algebras
- A diagrammatic approach to categorification of quantum groups I
- Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
- CALCULATION OF EXCITATION SPECTRA OF THE SPIN MODEL RELATED WITH THE VECTOR REPRESENTATION OF THE QUANTIZED AFFINE ALGEBRA OF TYPE $A_n^{(1)} $
- Simplicity of heads and socles of tensor products
- Simply laced root systems arising from quantum affine algebras
- Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types
- Monoidal categorification and quantum affine algebras
- Combinatorial Auslander-Reiten quivers and reduced expressions
- Laurent phenomenon and simple modules of quiver Hecke algebras
- Auslander-Reiten quiver of type A and generalized quantum affine Schur-Weyl duality
- On the Monoidality of Saito Reflection Functors
- Deformed Cartan Matrices and Generalized Preprojective Algebras I: Finite Type
- Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.
