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A local characterization of simply-laced crystals

Author(s): John R. Stembridge
Journal: Trans. Amer. Math. Soc. 355 (2003), 4807-4823.
MSC (2000): Primary 17B37, 05E99
Posted: July 24, 2003
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Abstract: We provide a simple list of axioms that characterize the crystal graphs of integrable highest weight modules for simply-laced quantum Kac-Moody algebras.

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Additional Information:

John R. Stembridge
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109--1109

DOI: 10.1090/S0002-9947-03-03042-3
PII: S 0002-9947(03)03042-3
Received by editor(s): February 12, 2002
Posted: July 24, 2003
Additional Notes: This research was partially supported by NSF Grant DMS--0070685 and the Guggenheim Foundation.
Copyright of article: Copyright 2003, American Mathematical Society

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