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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Cremmer-Gervais solution of the Yang-Baxter equation
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by Timothy J. Hodges PDF
Proc. Amer. Math. Soc. 127 (1999), 1819-1826 Request permission

Abstract:

A direct proof is given of the fact that the Cremmer-Gervais $R$-matrix satisfies the (Quantum) Yang-Baxter equation
References
  • E. Cremmer and J.-L. Gervais, The quantum group structure associated with non-linearly extended Virasoro algebras, Comm. Math. Phys., 134 (1990), 619-632.
  • T. J. Hodges, On the Cremmer Gervais quantizations of $SL(n)$, Int. Math. Res. Notices, 10 (1995), 465-481.
  • C. Kassel, Quantum Groups, Graduate Texts in Mathematics 155, Springer-Verlag New York, 1995.
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Additional Information
  • Timothy J. Hodges
  • Affiliation: Department of Mathematics, University of Cincinnati, Cincinnati, Ohio 45221-0025
  • Email: timothy.hodges@uc.edu
  • Received by editor(s): September 19, 1997
  • Published electronically: February 18, 1999
  • Additional Notes: The author was supported in part by a grant from the National Science Foundation.
  • Communicated by: Ken Goodearl
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1819-1826
  • MSC (1991): Primary 81R50, 17B37; Secondary 16W30
  • DOI: https://doi.org/10.1090/S0002-9939-99-05014-5
  • MathSciNet review: 1621937