The \((q, t)\)-Cartan matrix specialized at \(q=1\) and its applications
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Publication:2678958
DOI10.1007/s00209-022-03195-1OpenAlexW4315646609MaRDI QIDQ2678958
Publication date: 18 January 2023
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.11918
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)
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Deformed Cartan matrices and generalized preprojective algebras. II: General type, \(t\)-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras
Cites Work
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- A cluster algebra approach to \(q\)-characters of Kirillov-Reshetikhin modules
- Langlands duality for finite-dimensional representations of quantum affine algebras
- On the derived category of a finite-dimensional algebra
- 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
- Global crystal bases of quantum groups
- Deformations of \(W\)-algebras associated to simple Lie algebras
- On commutation classes of reduced words in Weyl groups
- Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm
- Algebraic approach to \(q,t\)-characters
- Cluster structures on quantum coordinate rings
- 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
- 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
- Quivers with relations for symmetrizable Cartan matrices. I: Foundations
- Categorical relations between Langlands dual quantum affine algebras: exceptional cases
- Quantum cluster algebras.
- Quiver representations.
- Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras
- Folded quantum integrable models and deformed \(W\)-algebras
- Cluster algebras I: Foundations
- Quiver Hecke Algebras and 2-Lie Algebras
- A diagrammatic approach to categorification of quantum groups II
- Monoidal categorification of cluster algebras
- The Kirillov-Reshetikhin conjecture and solutions of T-systems
- Canonical Bases Arising from Quantized Enveloping Algebras
- A diagrammatic approach to categorification of quantum groups I
- Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
- Double Bruhat cells and total positivity
- CALCULATION OF EXCITATION SPECTRA OF THE SPIN MODEL RELATED WITH THE VECTOR REPRESENTATION OF THE QUANTIZED AFFINE ALGEBRA OF TYPE $A_n^{(1)} $
- Monoidal categorification and quantum affine algebras
- Combinatorial Auslander-Reiten quivers and reduced expressions
- Introduction to Lie Algebras and Representation Theory
- Quantum cluster algebra structures on quantum nilpotent algebras
- Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.
