A local characterization of simply-laced crystals

Author:
John R. Stembridge

Journal:
Trans. Amer. Math. Soc. **355** (2003), 4807-4823

MSC (2000):
Primary 17B37, 05E99

Published electronically:
July 24, 2003

MathSciNet review:
1997585

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9947-03-03042-3

Received by editor(s):
February 12, 2002

Published electronically:
July 24, 2003

Additional Notes:
This research was partially supported by NSF Grant DMS–0070685 and the Guggenheim Foundation.

Article copyright:
© Copyright 2003
American Mathematical Society