Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2018-01-01

Journal: LINEAR & MULTILINEAR ALGEBRA

Included Journals: Scopus、SCIE

Volume: 66

Issue: 2

Page Number: 224-242

ISSN: 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.