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ABSTRACT
In this article, we give a new realization of crystal bases for irreducible highest weight modules over U q (G 2) in terms of monomials. We also discuss the natural connection between the monomial realization and tableau realization.
Communicated by K. Misra
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Mathematics Subject Classification:
ACKNOWLEDGMENTS
The author would like to express his sincere gratitude to Professor S.-J. Kang and Doctor J.-A. Kim for their interest in this work and many valuable discussions. The author also thanks for the support by KOSEF Grant # R01-2003-000-10012-0.
