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

Abstract

Assuming the existence of the perfect crystal bases of Kirillov-Reshetikhin modules over simply-laced quantum affine algebras, we construct certain perfect crystals for twisted quantum affine algebras, and also provide compelling evidence that the constructed crystals are isomorphic to the conjectural crystal bases of Kirillov-Reshetikhin modules over twisted quantum affine algebras.

References in corpus (3)

• On Level Zero Representations of Quantized Affine Algebras
• Virtual crystals and Kleber's algorithm
• The canonical solutions of the Q-systems and the Kirillov-Reshetikhin conjecture

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• Categorical relations between Langlands dual quantum affine algebras: Exceptional cases
• Tensor powers for non-simply laced Lie Algebras $B_2$ case
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• A uniform model for Kirillov-Reshetikhin crystals. Extended abstract
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• Applications of Crystal Bases to Current Problems in Representation Theory
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• Affine crystals, one-dimensional sums and parabolic Lusztig q-analogues