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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 3, Pages 79–83
DOI: https://doi.org/10.4213/faa210 (Mi faa210) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Classification of Finite Factor Representations of the $(2m+1)$-Dimensional Heisenberg Group over a Countable Field of Finite Characteristic

K. P. Kokhas'

Saint-Petersburg State University
Full-text PDF (148 kB) Citations (1)
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DOI: https://doi.org/10.4213/faa210
Abstract: For a field $F$ that is the direct limit of an increasing chain of finite fields, we describe the Bratteli diagram, the finite complex factor representations, the Plancherel formula, and the projective modules of the corresponding Heisenberg group.
Keywords: factor representation, Heisenberg group, nilpotent group, Grothendieck group.
Received: 10.05.2002
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 3, Pages 236–239
DOI: https://doi.org/10.1023/A:1020162424581
Bibliographic databases:
Document Type: Article
UDC: 517.986
Language: Russian
Citation: K. P. Kokhas', “Classification of Finite Factor Representations of the $(2m+1)$-Dimensional Heisenberg Group over a Countable Field of Finite Characteristic”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 79–83; Funct. Anal. Appl., 36:3 (2002), 236–239
Citation in format AMSBIB
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\pages 79--83
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Linking options:
  • https://www.mathnet.ru/eng/faa210
  • https://doi.org/10.4213/faa210
  • https://www.mathnet.ru/eng/faa/v36/i3/p79
    • This publication is cited in the following 1 articles:
    1. K. P. Kokhas', “Finite factor representations of 2-step nilpotent groups, and orbit theory”, J. Math. Sci. (N. Y.), 131:2 (2005), 5508–5519  mathnet  crossref  mathscinet  zmath  elib
    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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    References:75
     
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