The crystal $\mathcal {B}(\infty )$ and extended Nakajima monomials
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Abstract:
We construct the set of extended Nakajima monomials containing monomials realizing the irreducible highest weight crystals, introduced by Nakajima. We present explicit descriptions of a crystal $\mathcal {B}_{\infty }$ and the crystal $\mathcal {B}(\infty )$ in this language for the case $A_n^{(1)}$.References
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Additional Information
- Hyeonmi Lee
- Affiliation: Department of Mathematics, Hanyang University, Seoul 133-791, Korea
- Email: hyeonmi@hanyang.ac.kr
- Received by editor(s): June 23, 2008
- Published electronically: January 26, 2009
- Additional Notes: This work was supported by the research fund of KIAS
- Communicated by: Gail R. Letzter
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 1915-1924
- MSC (2000): Primary 20G05; Secondary 17B37, 81R50
- DOI: https://doi.org/10.1090/S0002-9939-09-09834-7
- MathSciNet review: 2480271