Demazure structure inside Kirillov-Reshetikhin crystals

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)

[img]
Preview
Text
86335.pdf - Published Version

288kB

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
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

University Staff: Request a correction | Enlighten Editors: Update this record