Demazure structure inside Kirillov-Reshetikhin crystals

JOURNAL OF ALGEBRA

卷:309

Article

Fourier, Ghislain ; Schilling, Anne ; Shimozono, Mark

关键词: quantum affine algebras;    crystal bases;    Demazure crystals;    Kirillov-Reshetikhin crystals;   

DOI  :  10.1016/j.jalgebra.2006.09.019

来源: Elsevier

【 摘 要 】

The conjecturally perfect Kirillov-Reshetikhin (KR) crystals are known to be isomorphic as classical crystals to certain Demazure subcrystals of crystal graphs of irreducible highest weight modules over affine algebras. Under some assumptions we show that the classical isomorphism from the Demazure crystal to the KR crystal, sends zero arrows to zero arrows. This implies that the affine crystal structure on these KR crystals is unique. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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