Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

DJKM algebras I: Their universal central extension


Authors: Ben Cox and Vyacheslav Futorny
Journal: Proc. Amer. Math. Soc. 139 (2011), 3451-3460
MSC (2010): Primary 17B65, 17B67; Secondary 81R10
Published electronically: March 9, 2011
MathSciNet review: 2813377
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The purpose of this paper is to explicitly describe in terms of generators and relations the universal central extension of the infinite dimensional Lie algebra, $ \mathfrak{g}\otimes \mathbb{C}[t,t^{-1},u\vert u^2=(t^2-b^2)(t^2-c^2)]$, appearing in the work of Date, Jimbo, Kashiwara and Miwa in their study of integrable systems arising from the Landau-Lifshitz differential equation.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 17B65, 17B67, 81R10

Retrieve articles in all journals with MSC (2010): 17B65, 17B67, 81R10


Additional Information

Ben Cox
Affiliation: Department of Mathematics, College of Charleston, 66 George Street, Charleston, South Carolina 29424
Email: coxbl@cofc.edu

Vyacheslav Futorny
Affiliation: Department of Mathematics, University of São Paulo, São Paulo, Brazil
Email: futorny@ime.usp.br

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-10906-7
PII: S 0002-9939(2011)10906-7
Keywords: Krichever-Novikov algebras, Landau-Lifshitz differential equation, Date-Jimbo-Miwa-Kashiwara algebras, universal central extension, ultraspherical polynomials, elliptic integrals
Received by editor(s): September 5, 2010
Published electronically: March 9, 2011
Additional Notes: The first author is grateful to the Fapesp (processo 2009/17533-6) and the University of São Paulo for their support and hospitality during his visit to São Paulo. The first author was also partially supported by a research and development grant from the College of Charleston.
The second author was partially supported by Fapesp (processo 2005/60337-2) and CNPq (processo 301743/2007-0).
Communicated by: Gail R. Letzter
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.