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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 283, Pages 140–155 (Mi znsl1527)  
This article is cited in 2 scientific papers (total in 2 papers)

The classification of complex factor-representations of the 3-dimensional Heisenberg group over countable field of finite characteristics

K. P. Kokhas'

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (244 kB) Citations (2)
Abstract: We consider the field $F$ which is a direct limit of increasing chain of finite fields. We describe Bratteli diagram, complex factor-representations and projective moduli of the Heisenberg group of $3\times3$ upper-triangular matrices with elements from $F$.
Received: 30.10.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 3, Pages 2371–2379
DOI: https://doi.org/10.1023/B:JOTH.0000024618.55526.48
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: K. P. Kokhas', “The classification of complex factor-representations of the 3-dimensional Heisenberg group over countable field of finite characteristics”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Zap. Nauchn. Sem. POMI, 283, POMI, St. Petersburg, 2001, 140–155; J. Math. Sci. (N. Y.), 121:3 (2004), 2371–2379
Citation in format AMSBIB
\Bibitem{Kok01}
\by K.~P.~Kokhas'
\paper The classification of complex factor-representations of the 3-dimensional Heisenberg group over countable field of finite characteristics
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~VI
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 283
\pages 140--155
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1527}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879067}
\zmath{https://zbmath.org/?q=an:1074.22500}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 3
\pages 2371--2379
\crossref{https://doi.org/10.1023/B:JOTH.0000024618.55526.48}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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