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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 2, Pages 92–96
DOI: https://doi.org/10.4213/faa2992 (Mi faa2992) 		 
This article is cited in 9 scientific papers (total in 10 papers)

Brief communications

On holomorphic representations of discrete Heisenberg groups

A. N. Parshin

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (171 kB) Citations (10)
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DOI: https://doi.org/10.4213/faa2992
Abstract: We define a class of monomial not necessary unitary representations of discrete Heisenberg groups. Their moduli space is a complex-analytic manifold. There exist characters of the representations which are automorphic forms on the moduli space.
Keywords: discrete Heisenberg group, induced representation, character, theta function.
Received: 28.12.2009
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 2, Pages 156–159
DOI: https://doi.org/10.1007/s10688-010-0020-3
Bibliographic databases:
Document Type: Article
UDC: 512.74
Language: Russian
Citation: A. N. Parshin, “On holomorphic representations of discrete Heisenberg groups”, Funktsional. Anal. i Prilozhen., 44:2 (2010), 92–96; Funct. Anal. Appl., 44:2 (2010), 156–159
Citation in format AMSBIB
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    • This publication is cited in the following 10 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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    Abstract page:794
    Full-text PDF :270
    References:63
    First page:19
     
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