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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A local characterization of simply-laced crystals
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by John R. Stembridge PDF
Trans. Amer. Math. Soc. 355 (2003), 4807-4823 Request permission

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.
References
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Additional Information
  • John R. Stembridge
  • Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109–1109
  • 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.
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 355 (2003), 4807-4823
  • MSC (2000): Primary 17B37, 05E99
  • DOI: https://doi.org/10.1090/S0002-9947-03-03042-3
  • MathSciNet review: 1997585