CRISTIAN LENART, TRAVIS SCRIMSHAW
We show that a tensor product of nonexceptional type Kirillov–Reshetikhin (KR) crystals is isomorphic to a direct sum of Demazure crystals; we do this in the mixed level case and without the perfectness assumption, thus generalizing a result of Naoi. We use this result to show that, given two tensor products of such KR crystals with the same maximal weight, after removing certain 0-arrows, the two connected components containing the minimal/maximal elements are isomorphic. Based on the latter fact, we reduce a tensor product of higher level perfect KR crystals to one of single-column KR crystals, which allows us to use the uniform models available in the literature in the latter case. We also use our results to give a combinatorial interpretation of the Q-system relations. Our results are conjectured to extend to the exceptional types.
@article{2d55abd5-b62f-4c6b-961e-e987e8ebdb82,
title={On higher level Kirillov Reshetikhin cry},
author={CRISTIAN LENART and TRAVIS SCRIMSHAW},
year={2026},
language={en}
}TY - JOUR TI - On higher level Kirillov Reshetikhin cry AU - CRISTIAN LENART AU - TRAVIS SCRIMSHAW PY - 2026 LA - en ER -
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