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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 4, Pages 46–59
DOI: https://doi.org/10.4213/faa2878 (Mi faa2878) 		 
This article is cited in 21 scientific papers (total in 22 papers)

Lax Operator Algebras

I. M. Kricheverab, O. K. Sheinmancd

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Columbia University
c Steklov Mathematical Institute, Russian Academy of Sciences
d Independent University of Moscow
Full-text PDF (220 kB) Citations (22)
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DOI: https://doi.org/10.4213/faa2878
Abstract: In this paper we develop a general concept of Lax operators on algebraic curves introduced in [I. M. Krichever, Comm. Math. Phys., 229, 2 (2002), 229–269]. We observe that the space of Lax operators is closed with respect to their usual multiplication as matrix-valued functions. We construct the orthogonal and symplectic analogs of Lax operators, prove that they constitute almost graded Lie algebras and construct local central extensions of those Lie algebras.
Keywords: Lax operators, current algebras, Tyurin data, almost graded structure, local central extension.
Received: 28.02.2007
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 4, Pages 284–294
DOI: https://doi.org/10.1007/s10688-007-0026-7
Bibliographic databases:
Document Type: Article
UDC: 917.9
Language: Russian
Citation: I. M. Krichever, O. K. Sheinman, “Lax Operator Algebras”, Funktsional. Anal. i Prilozhen., 41:4 (2007), 46–59; Funct. Anal. Appl., 41:4 (2007), 284–294
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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