Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Mobile Device Pairing
 Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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
MathSciNet review: 1621937
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: A direct proof is given of the fact that the Cremmer-Gervais $R$-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 $SL(n)$, Int. Math. Res. Notices, 10 (1995), 465-481.
3.
C. Kassel, Quantum Groups, Graduate Texts in Mathematics 155, Springer-Verlag New York, 1995.

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 81R50, 17B37, 16W30

Retrieve articles in all Journals with MSC (1991): 81R50, 17B37, 16W30

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




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia