Existence of Kirillov-Reshetikhin crystals for nonexceptional types
Authors:
Masato Okado and Anne Schilling
Journal:
Represent. Theory 12 (2008), 186-207
MSC (2000):
Primary 17B37, 81R50; Secondary 05E15, 81R10
DOI:
https://doi.org/10.1090/S1088-4165-08-00329-4
Published electronically:
April 14, 2008
Erratum:
Represent. Theory 12 (2008), 499--500
MathSciNet review:
2403558
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Using the methods of Kang et al. and recent results on the characters of Kirillov-Reshetikhin modules by Nakajima and Hernandez, the existence of Kirillov-Reshetikhin crystals is established for all nonexceptional affine types. We also prove that the crystals
of type
,
, and
are isomorphic to recently constructed combinatorial crystals for
not a spin node.
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Additional Information
Masato Okado
Affiliation:
Department of Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
Email:
okado@sigmath.es.osaka-u.ac.jp
Anne Schilling
Affiliation:
Department of Mathematics, University of California, One Shields Avenue, Davis, California 95616-8633
Email:
anne@math.ucdavis.edu
DOI:
https://doi.org/10.1090/S1088-4165-08-00329-4
Received by editor(s):
August 8, 2007
Received by editor(s) in revised form:
February 26, 2008
Published electronically:
April 14, 2008
Dedicated:
Dedicated to Professor Masaki Kashiwara on his sixtieth birthday
Article copyright:
© Copyright 2008
American Mathematical Society