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Matematicheskie Zametki, 2012, Volume 92, Issue 3, Pages 323–330
DOI: https://doi.org/10.4213/mzm9289 (Mi mzm9289) 		 
This article is cited in 9 scientific papers (total in 10 papers)

On Irreducible Representations of Discrete Heisenberg Groups

S. A. Arnal', A. N. Parshin

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (464 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm9289
Abstract: We prove that the irreducible representations with finite weight of discrete nilpotent groups of class $2$, including the discrete Heisenberg groups, are monomial representations and obtain their classification for the group $\operatorname{Heis}(3,\mathbb Z)$.
Keywords: discrete Heisenberg group, discrete nilpotent group, monomial representation, representation of finite weight.
Funding agency Grant number
Russian Foundation for Basic Research
Received: 06.12.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 3, Pages 295–301
DOI: https://doi.org/10.1134/S0001434612090015
Bibliographic databases:
Document Type: Article
UDC: 512.544.33
Language: Russian
Citation: S. A. Arnal', A. N. Parshin, “On Irreducible Representations of Discrete Heisenberg Groups”, Mat. Zametki, 92:3 (2012), 323–330; Math. Notes, 92:3 (2012), 295–301
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
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