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Indexed by:期刊论文

Date of Publication:2018-01-01

Journal:LINEAR & MULTILINEAR ALGEBRA

Included Journals:SCIE、Scopus

Volume:66

Issue:2

Page Number:224-242

ISSN No.:0308-1087

Key Words:Dihedral group; modular representation; coinvariant; Hilbert ideal

Abstract: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.