Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types

zbMath1267.17012arXiv0811.1604MaRDI QIDQ3001435

Anne Schilling, Masato Okado, Ghislain Fourier

Publication date: 31 May 2011

Full work available at URL: https://arxiv.org/abs/0811.1604

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (22)

Virtualization map for the Littelmann path model ⋮ Affine geometric crystal of \(A_n^{(1)}\) and limit of Kirillov-Reshetikhin perfect crystals ⋮ Kirillov–Reshetikhin crystals B^7,s for type E₇⁽¹⁾ ⋮ Young wall model for A₂⁽²⁾-type adjoint crystals ⋮ Affine structures and a tableau model for \(E_{6}\) crystals ⋮ Uniform description of the rigged configuration bijection ⋮ Crystal energy functions via the charge in types \(A\) and \(C\) ⋮ 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 \(D_4^{(3)}\) ⋮ Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues ⋮ Fusion products of Kirillov-Reshetikhin modules and the \(X = M\) conjecture ⋮ A combinatorial categorification of the tensor product of the Kirillov-Reshetikhin crystal \(B^{1,1}\) and a fundamental crystal ⋮ Realization of Kirillov-Reshetikhin crystals \(B^{1,s}\) for \(\widehat{\mathfrak{sl}}_n\) using Nakajima monomials ⋮ Adjoint crystals and Young walls for \(U_q(\widehat{sl}_2)\) ⋮ Categorifying the tensor product of the Kirillov-Reshetikhin crystal $B^{1,1}$ and a fundamental crystal ⋮ On Demazure crystals for $U_{q}(G_{2}^{(1)})$ ⋮ Kirillov-Reshetikhin crystals, energy function and the combinatorial \(R\)-matrix ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types ⋮ Quantum nilpotent subalgebras of classical quantum groups and affine crystals ⋮ Quantum nilpotent subalgebras of classical quantum groups and affine crystals ⋮ $A^{(1)}_{n}$ -Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization ⋮ On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models

Uses Software

• SageMath

This page was built for publication: Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types