zbMath0973.17015arXivmath/9810055MaRDI QIDQ4945721
Nicolai Reshetikhin, Edward V. Frenkel'
Publication date: 28 November 2001
Full work available at URL: https://arxiv.org/abs/math/9810055
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
The q-characters of minimal affinizations of type G2 arising from cluster algebras ⋮
On Hopf algebraic structures of quantum toroidal algebras ⋮
A generating function associated with the alternating elements in the positive part of Uq(sl^2) ⋮
Simply laced root systems arising from quantum affine algebras ⋮
Level 0 Monomial Crystals ⋮
Higher Sugawara operators for the quantum affine algebras of type \(A\) ⋮
A Q-operator for open spin chains I. Baxter’s TQ relation ⋮
Extended Nakajima monomials and crystal \({\mathcal B}(\infty)\) for finite simple Lie algebras ⋮
Stable maps, Q-operators and category 𝒪 ⋮
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types ⋮
Affinization of category $\mathcal {O}$ for quantum groups ⋮
Positivity and periodicity of \(Q\)-systems in the WZW fusion ring ⋮
Integrable perturbations of conformal field theories and Yetter-Drinfeld modules ⋮
Unnamed Item ⋮
Demazure modules and graded limits of minimal affinizations ⋮
Hofstadter’s butterfly and Langlands duality ⋮
Finite type modules and Bethe ansatz equations ⋮
Finite type modules and Bethe ansatz for quantum toroidal \(\mathfrak{gl}_1\) ⋮
Baxter operators and asymptotic representations ⋮
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Quantum geometry and quiver gauge theories ⋮
Length-two representations of quantum affine superalgebras and Baxter operators ⋮
Categorical relations between Langlands dual quantum affine algebras: exceptional cases ⋮
Yangian Characters and Classical $$\mathcal{W}$$ -Algebras ⋮
Folded quantum integrable models and deformed \(W\)-algebras ⋮
A path model for Whittaker vectors ⋮
\(Q\widetilde{Q}\)-systems for twisted quantum affine algebras ⋮
3D mirror symmetry for instanton moduli spaces ⋮
Representations of quantum affine algebras of type $B_N$ ⋮
Braid group action and quasi-split affine 𝚤quantum groups I ⋮
The \((q, t)\)-Cartan matrix specialized at \(q=1\) and its applications ⋮
Superspin chains and supersymmetric gauge theories ⋮
Higher order Kirillov-Reshetikhin modules for \(\mathbf{U}_q(A_{n}^{(1)})\), imaginary modules and monoidal categorification ⋮
\(t\)-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras ⋮
Cluster algebra structures on module categories over quantum affine algebras ⋮
Invariants of Weyl group action and \(q\)-characters of quantum affine algebras ⋮
Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C ⋮
Path description for q -characters of fundamental modules in type C ⋮
A Drinfeld-type presentation of the orthosymplectic Yangians ⋮
Shifted quantum groups and matter multiplets in supersymmetric gauge theories ⋮
Monoidal categorification and quantum affine algebras ⋮
Seiberg-Witten geometry of four-dimensional \(\mathcal{N}=2\) quiver gauge theories ⋮
Braid group action on extended crystals ⋮
Quantum affine algebras, graded limits and flags ⋮
\(q\)-opers, \(QQ\)-systems, and Bethe Ansatz ⋮
Dorey's rule and the \(q\)-characters of simply-laced quantum affine algebras ⋮
A functor for constructing R$R$‐matrices in the category O$\mathcal {O}$ of Borel quantum loop algebras ⋮
Monoidal categorification and quantum affine algebras. II ⋮
Enveloping algebras and geometric representation theory. Abstracts from the workshop held October 31 -- November 6, 2021 (hybrid meeting) ⋮
Coulomb branches of quiver gauge theories with symmetrizers ⋮
Integrable Systems, Shuffle Algebras, and Bethe Equations ⋮
Monoidal categories of modules over quantum affine algebras of type A and B ⋮
Double quantization of Seiberg–Witten geometry and W-algebras ⋮
A geometric q‐character formula for snake modules ⋮
Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type \(D_n\) ⋮
Periodicities of T-systems and Y-systems ⋮
On minimal affinizations of representations of quantum groups ⋮
Algebraic structures on the moduli spaces in gauge theories ⋮
t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8 ⋮
Plücker relations on Schur functions ⋮
Unnamed Item ⋮
Unnamed Item ⋮
Characters of fundamental representations of quantum affine algebras. ⋮
On finite-dimensional representations of two-parameter quantum affine algebras ⋮
Extremal loop weight modules for \(\mathcal {U}_q(\widehat{sl}_{\infty})\) ⋮
Yangians, quantum loop algebras, and abelian difference equations ⋮
Three-term recurrence relations of minimal affinizations of type $G_2$ ⋮
Quantum Grothendieck rings as quantum cluster algebras ⋮
Monoidal Categorifications of Cluster Algebras of Type A and D ⋮
Reduced qKZ equation and genuine qKZ equation ⋮
Quiver varieties and finite dimensional representations of quantum affine algebras ⋮
On restriction of unitarizable representations of general linear groups and the non-generic local Gan-Gross-Prasad conjecture ⋮
Highest \(\ell\)-weight representations and functional relations ⋮
Algebraic approach to \(q,t\)-characters ⋮
Fractional quiver W-algebras ⋮
The \(t\)-analogs of \(q\)-characters at roots of unity for quantum affine algebras and beyond ⋮
Spectral characters of finite-dimensional representations of affine algebras ⋮
Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type ⋮
Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe Ansatz ⋮
Cluster algebras and snake modules ⋮
Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality ⋮
On tensor products of a minimal affinization with an extreme Kirillov-Reshetikhin module for type \(A\) ⋮
Representations of \(U_q(L\mathfrak{sl}_2)\) at roots of unity and generalised cluster algebras ⋮
Ding-Iohara-Miki symmetry of network matrix models ⋮
Combinatorics of the \(q\)-characters of Hernandez-Leclerc modules ⋮
BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters ⋮
Graded limits of minimal affinizations over the quantum loop algebra of type \(G_{2}\) ⋮
Combinatorics of vertex operators and deformed \(W\)-algebra of type D\((2,1;\alpha)\) ⋮
Quiver W-algebras ⋮
Quiver elliptic W-algebras ⋮
Supersymmetric Wilson loops, instantons, and deformed \(\mathcal{W}\)-algebras ⋮
Weyl, Demazure and fusion modules for the current algebra of \(\mathfrak{sl}_{r+1}\) ⋮
Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers ⋮
Quantum integrability from non-simply laced quiver gauge theory ⋮
Nakajima varieties and repetitive algebras ⋮
Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions ⋮
Asymptotic representations of quantum affine superalgebras ⋮
Universal \(R\)-matrix of quantum affine \(\mathfrak{gl}(1,1)\) ⋮
Q-operator and fusion relations for \(U_q(C^{(2)}(2))\) ⋮
Baxter's relations and spectra of quantum integrable models
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