Generalized Young walls and crystal bases for quantum affine algebra of type

Authors:
Jeong-Ah Kim and Dong-Uy Shin

Journal:
Proc. Amer. Math. Soc. **138** (2010), 3877-3889

MSC (2010):
Primary 17B37, 81R50

Published electronically:
June 9, 2010

MathSciNet review:
2679610

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We give a new realization of the crystal of using *generalized Young walls*, a modified notion of Young walls of type . Moreover, by the fact that the irreducible highest weight crystal lies in the crystal , we construct the crystal using generalized Young walls.

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Additional Information

**Jeong-Ah Kim**

Affiliation:
Department of Mathematics, University of Seoul, Seoul, 130-743, Korea

Email:
jakim@uos.ac.kr

**Dong-Uy Shin**

Affiliation:
Department of Mathematics Education, Hanyang University, Seoul 133-791, Korea

Email:
dushin@hanyang.ac.kr

DOI:
https://doi.org/10.1090/S0002-9939-2010-10428-8

Received by editor(s):
August 12, 2009

Received by editor(s) in revised form:
January 20, 2010, and February 3, 2010

Published electronically:
June 9, 2010

Additional Notes:
This work was supported by the research fund of Hanyang University (HY-2009-O)

Communicated by:
Gail R. Letzter

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.