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

Author(s): 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
Posted: March 16, 2007
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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: 10.1090/S1061-0022-07-00949-1
PII: S 1061-0022(07)00949-1
Keywords: Irreducible tame representation, semigroup
Received by editor(s): 11/MAY/2005
Posted: March 16, 2007
Copyright of article: Copyright 2007, American Mathematical Society

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