Modular Representations and Coinvariants of the Dihedral Group

In this paper, we completely classify a finite number of inequivalent indecomposable modular representations of the dihedral group [Formula: see text] in characteristic [Formula: see text], [Formula: see text], and determine that there exists a summand of the group algebra which is not a summand of the rings of coinvariants of these representations.

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Publication Details

Journal
Algebra Colloquium
Published
2024-11-29
DOI
https://doi.org/10.1142/s1005386724000531
Primary Topic
Mathematics and Applications
Type
article
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article

Modular Representations and Coinvariants of the Dihedral Group

Haixian Chen, Jizhu Nan
Algebra Colloquium
Mathematics and Applications
article

Modular Representations and Coinvariants of the Dihedral Group

Haixian Chen, Jizhu Nan
article en

Abstract

In this paper, we completely classify a finite number of inequivalent indecomposable modular representations of the dihedral group [Formula: see text] in characteristic [Formula: see text], [Formula: see text], and determine that there exists a summand of the group algebra which is not a summand of the rings of coinvariants of these representations.

Algebra ColloquiumVol. 31(04)
Shanxi University (CN), Dalian University of Technology (CN)
Reduced inequalities
Openalex Percentile: Top 67%
Mathematics and Applications
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