Realizability of Two-dimensional Linear Groups over Rings of Integers of Algebraic Number Fields
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- 作者：Dmitry Malinin (1)
Freddy Van Oystaeyen (2) - 关键词：Schur ring ; Brauer reduction ; Globally irreducible representations ; Rings of integers ; Algebraic number fields ; 20G30 ; 20C10 ; 11R33 ; 11R29
- 刊名：Algebras and Representation Theory
- 出版年：2011
- 出版时间：April 2011
- 年：2011
- 卷：14
- 期：2
- 页码：201-211
- 全文大小：387KB
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Freddy Van Oystaeyen (2)
1. Fakult盲t f眉r Mathematik und Informatik, Universit盲t Mannheim, Seminargeb盲ude A5, 68131, Mannheim, Germany
2. Department of Mathematics & Computer Science, University of Antwerp, Middelheim campus, Middelheimlaan 1, 2020, Antwerpen, Belgium - ISSN：1572-9079
文摘
Given the ring of integers O K of an algebraic number field K, for which natural numbers n there exists a finite group G鈥夆妭鈥?em class="a-plus-plus">GL(n, O K ) such that O K G, the O K -span of G, coincides with M(n, O K ), the ring of (n鈥壝椻€?em class="a-plus-plus">n)-matrices over O K ? The answer is known if n is an odd prime. In this paper we study the case n鈥?鈥?; in the cases when the answer is positive for n鈥?鈥?, for n鈥?鈥?m there is also a finite group G鈥夆妭鈥?em class="a-plus-plus">GL(2m, O K ) such that O K G鈥?鈥?em class="a-plus-plus">M(2m, O K ).