DJKM algebras I: Their universal central extension
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- by Ben Cox and Vyacheslav Futorny PDF
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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, $\mathfrak g\otimes \mathbb C[t,t^{-1},u|u^2=(t^2-b^2)(t^2-c^2)]$, appearing in the work of Date, Jimbo, Kashiwara and Miwa in their study of integrable systems arising from the Landau-Lifshitz differential equation.References
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Additional Information
- Ben Cox
- Affiliation: Department of Mathematics, College of Charleston, 66 George Street, Charleston, South Carolina 29424
- MR Author ID: 329342
- Email: coxbl@cofc.edu
- Vyacheslav Futorny
- Affiliation: Department of Mathematics, University of São Paulo, São Paulo, Brazil
- MR Author ID: 238132
- Email: futorny@ime.usp.br
- 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
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3451-3460
- MSC (2010): Primary 17B65, 17B67; Secondary 81R10
- DOI: https://doi.org/10.1090/S0002-9939-2011-10906-7
- MathSciNet review: 2813377