On Demazure crystals for $U_q(G_2^{(1)})$
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- by Rebecca L. Jayne and Kailash C. Misra PDF
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Abstract:
We show that there exist suitable sequences $\{w^{(k)}\}_{k \ge 0}$ and $\{w’^{(k)}\}_{k \ge 0}$ of Weyl group elements for a given perfect crystal of level $l\ge 1$ such that the path realizations of the Demazure crystals $B_{w^{(k)}}(l\Lambda _0)$ and $B_{w’^{(k)}}(l\Lambda _2)$ for the quantum affine algebra $U_q(G_2^{(1)})$ have tensor-product-like structures with mixing index $\kappa =1$.References
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Additional Information
- Rebecca L. Jayne
- Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205
- Email: rljayne@unity.ncsu.edu
- Kailash C. Misra
- Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205
- MR Author ID: 203398
- Email: misra@math.ncsu.edu
- Received by editor(s): March 31, 2010
- Received by editor(s) in revised form: June 11, 2010, and June 23, 2010
- Published electronically: December 7, 2010
- Additional Notes: This work was partially supported by NSA grant H98230-08-1-0080.
- Communicated by: Gail R. Letzter
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2343-2356
- MSC (2010): Primary 17B37, 17B10; Secondary 17B67
- DOI: https://doi.org/10.1090/S0002-9939-2010-10663-9
- MathSciNet review: 2784799