Loading [MathJax]/jax/output/SVG/config.js
Algebra i Analiz
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra i Analiz, 2006, Volume 18, Issue 2, Pages 57–79 (Mi aa68)  
This article is cited in 3 scientific papers (total in 3 papers)

Research Papers

Tame representations of the group $\mathrm{GL}(\infty,\mathbb F_q)$

A. V. Dudko
Full-text PDF (239 kB) Citations (3)
References:
PDF
HTML
Abstract: A complete classification of irreducible tame representations of the group $G(\infty)=\varinjlim G(n)$ is presented. Here $G(n)=\mathrm{GL}(n,\mathbb F_q)$ is the group of nonsingular matrices of order $n$ over the finite field $\mathbb F_q$.
Received: 11.05.2005
English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 2, Pages 223–239
DOI: https://doi.org/10.1090/S1061-0022-07-00949-1
Bibliographic databases:
Document Type: Article
MSC: 43A65
Language: Russian
Citation: A. V. Dudko, “Tame representations of the group $\mathrm{GL}(\infty,\mathbb F_q)$”, Algebra i Analiz, 18:2 (2006), 57–79; St. Petersburg Math. J., 18:2 (2007), 223–239
Citation in format AMSBIB
\Bibitem{Dud06}
\by A.~V.~Dudko
\paper Tame representations of the group~$\mathrm{GL}(\infty,\mathbb F_q)$
\jour Algebra i Analiz
\yr 2006
\vol 18
\issue 2
\pages 57--79
\mathnet{http://mi.mathnet.ru/aa68}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2244936}
\zmath{https://zbmath.org/?q=an:1134.20055}
\elib{https://elibrary.ru/item.asp?id=9194120}
\transl
\jour St. Petersburg Math. J.
\yr 2007
\vol 18
\issue 2
\pages 223--239
\crossref{https://doi.org/10.1090/S1061-0022-07-00949-1}
Linking options:
  • https://www.mathnet.ru/eng/aa68
  • https://www.mathnet.ru/eng/aa/v18/i2/p57
    • This publication is cited in the following 3 articles:
    1. Neretin Yu.A., “Groups Gl(Infinity) Over Finite Fields and Multiplications of Double Cosets”, J. Algebra, 585 (2021), 370–421  crossref  mathscinet  isi
    2. Yury Neretin, “Description of unitary representations of the group of infinite 𝑝-adic integer matrices”, Represent. Theory, 25:21 (2021), 606  crossref
    3. Yu. A. Neretin, “Hua measures on the space of $p$-adic matrices and inverse limits of Grassmannians”, Izv. Math., 77:5 (2013), 941–953  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:400
    Full-text PDF :148
    References:51
    First page:2
     
      Contact us:
    math-net2025_05@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025