DJKM ALGEBRAS I: THEIR UNIVERSAL CENTRAL EXTENSION


Autoria(s): COX, Ben; FUTORNY, Vyacheslav
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

19/04/2012

19/04/2012

2011

Resumo

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, g circle times C[t, t(-1), u vertical bar 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.

Fapesp[2009/17533-6]

Fapesp[2005/60337-2]

University of Sao Paulo (USP)

College of Charleston

CNPq[301743/2007-0]

Identificador

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.139, n.10, p.3451-3460, 2011

0002-9939

http://producao.usp.br/handle/BDPI/16687

10.1090/S0002-9939-2011-10906-7

http://dx.doi.org/10.1090/S0002-9939-2011-10906-7

Idioma(s)

eng

Publicador

AMER MATHEMATICAL SOC

Relação

Proceedings of the American Mathematical Society

Direitos

openAccess

Copyright AMER MATHEMATICAL SOC

Palavras-Chave #Krichever-Novikov algebras #Landau-Lifshitz differential equation #Date-Jimbo-Miwa-Kashiwara algebras #universal central extension #ultraspherical polynomials #elliptic integrals #AFFINE LIE-ALGEBRAS #CRITICAL-LEVEL #Mathematics, Applied #Mathematics
Tipo

article

original article

publishedVersion