On the combinatorics of crystal graphs, II. The crystal commutor
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- by Cristian Lenart PDF
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Abstract:
We present an explicit combinatorial realization of the commutor in the category of crystals which was first studied by Henriques and Kamnitzer. Our realization is based on certain local moves defined by van Leeuwen.References
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Additional Information
- Cristian Lenart
- Affiliation: Department of Mathematics and Statistics, State University of New York at Albany, Albany, New York 12222
- MR Author ID: 259436
- Email: lenart@albany.edu
- Received by editor(s): February 16, 2007
- Published electronically: November 30, 2007
- Additional Notes: The author was supported by National Science Foundation grant DMS-0403029
- Communicated by: Jim Haglund
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 825-837
- MSC (2000): Primary 20G42; Secondary 17B10, 22E46
- DOI: https://doi.org/10.1090/S0002-9939-07-09244-1
- MathSciNet review: 2361854