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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

Tame representations of the group $ \operatorname{GL}(\infty,\mathbb{F}_q)$


Author: A. V. Dudko
Translated by: B. M. Bekker
Original publication: Algebra i Analiz, tom 18 (2006), nomer 2.
Journal: St. Petersburg Math. J. 18 (2007), 223-239
MSC (2000): Primary 43A65
Published electronically: March 16, 2007
MathSciNet review: 2244936
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Abstract | References | Similar Articles | Additional Information

Abstract: A complete classification of irreducible tame representations of the group $ G(\infty)=\varinjlim G(n)$ is presented. Here $ G(n)=\operatorname{GL}(n, \mathbb{F}_q)$ is the group of nonsingular matrices of order $ n$ over the finite field $ \mathbb{F}_q$.


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Additional Information

A. V. Dudko
Affiliation: Kharkiv National University, 4 Svobody sq., 61077 Kharkiv, Ukraine
Email: artemdudko@rambler.ru

DOI: http://dx.doi.org/10.1090/S1061-0022-07-00949-1
PII: S 1061-0022(07)00949-1
Keywords: Irreducible tame representation, semigroup
Received by editor(s): May 11, 2005
Published electronically: March 16, 2007
Article copyright: © Copyright 2007 American Mathematical Society