scientific article; zbMATH DE number 1424477
From MaRDI portal
Publication:4945724
zbMath1032.81015arXivmath/9812022MaRDI QIDQ4945724
Taichiro Takagi, Masato Okado, Goro Hatayama, Atsuo Kuniba, Yasuhiko Yamada
Publication date: 7 June 2000
Full work available at URL: https://arxiv.org/abs/math/9812022
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (97)
A Steinberg type decomposition theorem for higher level Demazure modules ⋮ Virtual crystals and Nakajima monomials ⋮ Kirillov-Reshetikhin modules of generalized quantum groups of type \(A\) ⋮ On homomorphisms between global Weyl modules ⋮ Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe Ansatz ⋮ \(X=M\) for symmetric powers ⋮ Unnamed Item ⋮ Connecting marginally large tableaux and rigged configurations via crystals ⋮ Virtualization map for the Littelmann path model ⋮ Kirillov-Reshetikhin crystals for nonexceptional types ⋮ Graded limits of minimal affinizations over the quantum loop algebra of type \(G_{2}\) ⋮ Similarity and Kirillov-Schilling-Shimozono bijection ⋮ Affine geometric crystal of \(A_n^{(1)}\) and limit of Kirillov-Reshetikhin perfect crystals ⋮ Multiplicity function for tensor powers of modules of the \(A_n\) algebra ⋮ Construction of perfect crystals conjecturally corresponding to Kirillov-Reshetikhin modules over twisted quantum affine algebras ⋮ Lusztig's \(q\)-analogue of weight multiplicity and one-dimensional sums for affine root systems ⋮ Level zero fundamental representations over quantized affine algebras and Demazure modules ⋮ New fermionic formula for unrestricted Kostka polynomials ⋮ Affinization of category $\mathcal {O}$ for quantum groups ⋮ Existence of Kirillov-Reshetikhin crystals of type \(G_2^{(1)}\) and \(D_4^{(3)}\) ⋮ Kirillov–Reshetikhin crystals B7,s for type E7(1) ⋮ Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas ⋮ Quantization of branching coefficients for classical Lie groups ⋮ Positivity and periodicity of \(Q\)-systems in the WZW fusion ring ⋮ Inverse scattering method for a soliton cellular automaton ⋮ Demazure structure inside Kirillov-Reshetikhin crystals ⋮ Finite type modules and Bethe ansatz equations ⋮ Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection ⋮ Type \(D_n^{(1)}\) rigged configuration bijection ⋮ The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras ⋮ Properties of maximums of the multiplicity function ⋮ Affine structures and a tableau model for \(E_{6}\) crystals ⋮ Vertex operators, Weyl determinant formulae and Littlewood duality ⋮ Higher order Kirillov-Reshetikhin modules for \(\mathbf{U}_q(A_{n}^{(1)})\), imaginary modules and monoidal categorification ⋮ Uniform description of the rigged configuration bijection ⋮ Crystal energy functions via the charge in types \(A\) and \(C\) ⋮ Affine geometric crystals and limit of perfect crystals ⋮ Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials ⋮ A crystal to rigged configuration bijection and the filling map for type \(D_4^{(3)}\) ⋮ Quantum affine algebras, graded limits and flags ⋮ Path representation of \(\hat{su}(2)_k\) states. I: Operators and particles for \(k=1,2\) ⋮ Macdonald duality and the proof of the quantum Q-system conjecture ⋮ Kirillov-Reshetikhin modules and quantum \(K\)-matrices ⋮ Affine crystal structure on rigged configurations of type \(D_{n}^{(1)}\) ⋮ A note on the fusion product decomposition of Demazure modules ⋮ Stable rigged configurations for quantum affine algebras of nonexceptional types ⋮ Fusion products of Kirillov-Reshetikhin modules and the \(X = M\) conjecture ⋮ Combinatorial structure of Kirillov-Reshetikhin crystals of type \(D_n^{(1)}\), \(B_n^{(1)}\), \(A^{(2)}_{2n-1}\) ⋮ Weyl modules, Demazure modules and finite crystals for non-simply laced type ⋮ Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in exceptional types ⋮ From Macdonald polynomials to a charge statistic beyond type \(A\) ⋮ A uniform approach to soliton cellular automata using rigged configurations ⋮ Tau functions in combinatorial Bethe ansatz ⋮ Existence of crystal bases for Kirillov-Reshetikhin modules of type \(D\) ⋮ Periodicities of T-systems and Y-systems ⋮ Perfect crystals for \(U_q(D_4^{(3)})\) ⋮ On minimal affinizations of representations of quantum groups ⋮ Fermionic formula for double Kostka polynomials ⋮ Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection. II: Proof for \(\mathfrak{sl}_{n}\) case ⋮ Using rigged configurations to model \(B(\infty)\) ⋮ Combinatorial Yang-Baxter maps arising from the tetrahedron equation ⋮ t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8 ⋮ Zero actions and energy functions for perfect crystals ⋮ The Bailey lemma and Kostka polynomials ⋮ A bijection between type \(D_n^{(1)}\) crystals and rigged configurations ⋮ On multigraded generalizations of Kirillov-Reshetikhin modules ⋮ Unnamed Item ⋮ Deformed universal characters for classical and affine algebras ⋮ Hecke-Clifford superalgebras and crystals of type \(D_l^{(2)}\) ⋮ Finite-dimensional crystals \(B^{2,s}\) for quantum affine algebras of type \(D^{(1)}_{n}\) ⋮ Twisted Demazure modules, fusion product decomposition and twisted 𝑄-systems ⋮ A uniform realization of the combinatorial \(R\)-matrix for column shape Kirillov-Reshetikhin crystals ⋮ Existence of Kirillov–Reshetikhin crystals for nonexceptional types ⋮ Kirillov-Reshetikhin crystals, energy function and the combinatorial \(R\)-matrix ⋮ Demazure modules, fusion products and \(Q\)-systems ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types ⋮ Parafermionic bases of standard modules for affine Lie algebras ⋮ Parabolic Kazhdan-Lusztig polynomials, plethysm and generalized Hall-Littlewood functions for classical types ⋮ Virtual crystals and fermionic formulas of type 𝐷_{𝑛+1}⁽²⁾, 𝐴_{2𝑛}⁽²⁾, and 𝐶_{𝑛}⁽¹⁾ ⋮ Large deviations and one-sided scaling limit of randomized multicolor box-ball system ⋮ Cluster theory of the coherent Satake category ⋮ \(t,q\)-deformed \(Q\)-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators ⋮ Linear recurrence relations in \(q\)-systems via lattice points in polyhedra ⋮ A combinatorial realization of Kirillov-Reshetikhin crystals for type E arising from translations ⋮ \(K\)-matrices for 2D conformal field theories ⋮ Affine type \(A\) geometric crystal on the Grassmannian ⋮ \(Q\)-systems as cluster algebras. II: Cartan matrix of finite type and the polynomial property ⋮ Exclusion statistics in conformal field theory and the UCPF for WZW models. ⋮ $A^{(1)}_{n}$ -Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization ⋮ On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models ⋮ Generalized Demazure modules and prime representations in type \(D_n\) ⋮ Macdonald operators and quantum Q-systems for classical types ⋮ The Bethe equation at \(q=0\), the Möbius inversion formula, and weight multiplicities. II: The \(X_n\) case ⋮ Tableau models for semi-infinite Bruhat order and level-zero representations of quantum affine algebras ⋮ A generalization of the alcove model and its applications ⋮ Duality on Fock spaces and combinatorial energy functions ⋮ Quiver varieties and finite dimensional representations of quantum affine algebras
This page was built for publication:
