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The Cremmer-Gervais solution of the Yang-Baxter equation

Author(s): Timothy J. Hodges
Journal: Proc. Amer. Math. Soc. 127 (1999), 1819-1826.
MSC (1991): Primary 81R50, 17B37; Secondary 16W30
Posted: February 18, 1999
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Abstract: A direct proof is given of the fact that the Cremmer-Gervais -matrix satisfies the (Quantum) Yang-Baxter equation

References:

1.: E. Cremmer and J.-L. Gervais, The quantum group structure associated with non-linearly extended Virasoro algebras, Comm. Math. Phys., 134 (1990), 619-632.
2.: T. J. Hodges, On the Cremmer Gervais quantizations of , Int. Math. Res. Notices, 10 (1995), 465-481.
3.: 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

DOI: 10.1090/S0002-9939-99-05014-5
PII: S 0002-9939(99)05014-5
Keywords: Quantum group, $R$-matrix
Received by editor(s): September 19, 1997
Posted: February 18, 1999
Additional Notes: The author was supported in part by a grant from the National Science Foundation.
Communicated by: Ken Goodearl
Copyright of article: Copyright 1999, American Mathematical Society


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