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论文类型：期刊论文

发表时间：2018-01-01

发表刊物：LINEAR & MULTILINEAR ALGEBRA

收录刊物：SCIE、Scopus

卷号：66

期号：2

页面范围：224-242

ISSN号：0308-1087

关键字：Dihedral group; modular representation; coinvariant; Hilbert ideal

摘要：In this paper, we completely determine the inequivalent indecomposable modular representations of the dihedral group D-2p in characteristic p > 2 and also consider the structure of F[V] as the D-2p-module. As an application, we study the invariants, Hilbert ideals and coinvariants of D-2p under the low-dimensional representations. Moreover, we also describe the relations between those coinvariants and the regular representation.