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

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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

G L (\infty, F_{q})

$\mathrm{GL}(\infty,\mathbb F_q)$

A. V. Dudko

Full-text PDF (239 kB) Citations (3)

References:

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Abstract: A complete classification of irreducible tame representations of the group

G (\infty) = \lim_{\to} G (n)

$G(\infty)=\varinjlim G(n)$ is presented. Here

G (n) = G L (n, F_{q})

$G(n)=\mathrm{GL}(n,\mathbb F_q)$ is the group of nonsingular matrices of order

n

$n$ over the finite field

F_{q}

$\mathbb F_q$ .

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

G L (\infty, F_{q})

$\mathrm{GL}(\infty,\mathbb F_q)$ ”, 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:

Neretin Yu.A., “Groups Gl(Infinity) Over Finite Fields and Multiplications of Double Cosets”, J. Algebra, 585 (2021), 370–421
Yury Neretin, “Description of unitary representations of the group of infinite 𝑝-adic integer matrices”, Represent. Theory, 25:21 (2021), 606
Yu. A. Neretin, “Hua measures on the space of $p$ -adic matrices and inverse limits of Grassmannians”, Izv. Math., 77:5 (2013), 941–953

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	395
Full-text PDF :	145
References:	49
First page:	2

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