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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 1, Pages 68–79
DOI: https://doi.org/10.4213/faa2979 (Mi faa2979) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Double Affine Hecke Algebra in Logarithmic Conformal Field Theory

G. S. Mutafyana, I. Yu. Tipuninb

a Moscow Institute of Physics and Technology
b P. N. Lebedev Physical Institute
Full-text PDF (223 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa2979
Abstract: We construct a representation of the double affine Hecke algebra. The symmetrization of this representation coincides with the center of the quantum group $\overline{\mathscr{U}}_{\mathfrak{q}} s\ell(2)$ and, by Kazhdan–Lusztig duality, with the Verlinde algebra of the $(1,p)$-model of the logarithmic conformal field theory.
Keywords: double affine Hecke algebra, quantum group, conformal field theory.
Received: 24.04.2008
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 1, Pages 55–64
DOI: https://doi.org/10.1007/s10688-010-0005-2
Bibliographic databases:
Document Type: Article
UDC: 512.554.32
Language: Russian
Citation: G. S. Mutafyan, I. Yu. Tipunin, “Double Affine Hecke Algebra in Logarithmic Conformal Field Theory”, Funktsional. Anal. i Prilozhen., 44:1 (2010), 68–79; Funct. Anal. Appl., 44:1 (2010), 55–64
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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