Construction of perfect crystals conjecturally corresponding to Kirillov-Reshetikhin modules over twisted quantum affine algebras

DOI10.1007/s00220-005-1515-2zbMath1163.17302arXivmath/0503287OpenAlexW2082979718MaRDI QIDQ852019

Daisuke Sagaki, Satoshi Naito

Publication date: 27 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503287

Mathematics Subject Classification ID

Related Items (13)

Kirillov-Reshetikhin crystals for nonexceptional types ⋮ Multiplicity function for tensor powers of modules of the \(A_n\) algebra ⋮ Demazure structure inside Kirillov-Reshetikhin crystals ⋮ The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras ⋮ Categorical relations between Langlands dual quantum affine algebras: exceptional cases ⋮ Uniform description of the rigged configuration bijection ⋮ Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials ⋮ Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues ⋮ Existence of Kirillov-Reshetikhin crystals for multiplicity-free nodes ⋮ Combinatorial structure of Kirillov-Reshetikhin crystals of type \(D_n^{(1)}\), \(B_n^{(1)}\), \(A^{(2)}_{2n-1}\) ⋮ On multigraded generalizations of Kirillov-Reshetikhin modules ⋮ Drinfeld Realization of Twisted Quantum Affine Algebras ⋮ Existence of Kirillov–Reshetikhin crystals for nonexceptional types

Cites Work

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• The canonical solutions of the \(Q\)-systems and the Kirillov-Reshetikhin conjecture
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