Modular Species and Prime Ideals for the Ring of Monomial Representations of a Finite Group
Modular Species and Prime Ideals for the Ring of Monomial Representations of a Finite Group
复制标题
有限群单项表示环的模物种和素理想
DOI：
10.1080/00927870500243312
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
B. Külshammer
中科院分区：
文献类型：
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作者：
B. Fotsing;B. Külshammer
Dress（1971）和Boltje（1990）等研究了有限群的单项式表示环。它是感兴趣的连接与归纳定理在表示论。其物种最近被Boltje确定。在这篇文章中，我们将分析物种的区组分布。作为一个应用，我们将确定单项式表示环的素理想。这里的结果构成了第一作者在第二作者指导下撰写的部分Diplomarbeit（Fotsing，2003）的略有修改版本。
The ring of monomial representations of a finite group has been investigated by Dress (1971) and Boltje (1990), among others. It is of interest in connection with induction theorems in representation theory. Its species have recently been determined by Boltje. In this article, we will analyze the block distribution of species. As an application, we will determine the prime ideals of the ring of monomial representations. The results here constitute a slightly modified version of part of the first author's Diplomarbeit (Fotsing, 2003), written under the direction of the second author.