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Crystallized structure for level 0 part of modified quantum affine algebra $\tilde{U}_q (\widehat{{\frak s}{\frak l}_2})$

Published online by Cambridge University Press:  04 December 2007

TOSHIKI NAKASHIMA
TOSHIKI NAKASHIMA
Affiliation:
Department of Mathematical Science, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan. e-mail: toshiki@sigmath.es.osaka-u.ac.jp
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Abstract

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Crystal base of the level 0 part of the modified quantum affine algebra $\tilde{U}_q (\widehat{{\frak s}{\frak l}_2})_0$ is given by path. Weyl group actions, extremal vectors and crystal structure of all irreducible components are described explicitly.

Keywords

modified quantum affine algebraWeyl groupcrystal structure
Type
Research Article
Information
Compositio Mathematica , Volume 108 , Issue 1 , August 1997 , pp. 1 - 33
Copyright
© 1997 Kluwer Academic Publishers