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Funktsional'nyi Analiz i ego Prilozheniya, 2001, Volume 35, Issue 3, Pages 60–72
DOI: https://doi.org/10.4213/faa259 (Mi faa259) 		 
This article is cited in 12 scientific papers (total in 12 papers)

The Fermion Model of Representations of Affine Krichever–Novikov Algebras

O. K. Sheinmanab

a Independent University of Moscow
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (197 kB) Citations (12)
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DOI: https://doi.org/10.4213/faa259
Abstract: To a generic holomorphic vector bundle on an algebraic curve and an irreducible finite-dimensional representation of a semisimple Lie algebra, we assign a representation of the corresponding affine Krichever–Novikov algebra in the space of semi-infinite exterior forms. It is shown that equivalent pairs of data give rise to equivalent representations and vice versa.
Received: 11.05.2000
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 3, Pages 209–219
DOI: https://doi.org/10.1023/A:1012378912526
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. K. Sheinman, “The Fermion Model of Representations of Affine Krichever–Novikov Algebras”, Funktsional. Anal. i Prilozhen., 35:3 (2001), 60–72; Funct. Anal. Appl., 35:3 (2001), 209–219
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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