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Communications in Algebra Volume 34, 2006 - Issue 1
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Original Articles

Crystal Bases and Monomials for Uq(G2)-Modules

Dong-Uy Shin School of Mathematics, Korea Institute for Advanced Study, Dongdaemun-gu, Seoul, KoreaCorrespondence[email protected]
Pages 129-142 | Received 03 May 2004, Accepted 18 Nov 2004, Published online: 03 Sep 2006
 
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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

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.

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