Fourier, G., Schilling, A. and Shimozono, M. (2007) Demazure structure inside Kirillov-Reshetikhin crystals. Journal of Algebra, 309(1), pp. 386-404. (doi: 10.1016/j.jalgebra.2006.09.019)
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Abstract
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.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Fourier, Dr Ghislain |
Authors: | Fourier, G., Schilling, A., and Shimozono, M. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of Algebra |
ISSN: | 0021-8693 |
ISSN (Online): | 1090-266X |
Copyright Holders: | Copyright © 2006 Elsevier Inc. |
First Published: | First published in Journal of Algebra 309(1):386-404 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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