Augmentation quotients for complex representation rings of dihedral groups

doi:10.1007/s11464-011-0162-5

Front Math Chin

2012, Vol. 7

Issue (1) : 1-18 https://doi.org/10.1007/s11464-011-0162-5

RESEARCH ARTICLE

Augmentation quotients for complex representation rings of dihedral groups

Shan CHANG¹(

), Hong CHEN², Guoping TANG³

1. School of Mathematics, Hefei University of Technology, Hefei 230026, China; 2. School of Mathematical Sciences, Soochow University, Suzhou 215006, China; 3. School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China

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Abstract

Denote by D_m the dihedral group of order 2m. Let ?(Dm) be its complex representation ring, and let Δ(D_m) be its augmentation ideal. In this paper, we determine the isomorphism class of the n-th augmentation quotient Δⁿ(D_m)/Δⁿ⁺¹(D_m) for each positive integer n.

Keywords dihedral group representation augmentation quotient

Corresponding Author(s): CHANG Shan,Email:sc@ustc.edu

Issue Date: 01 February 2012

Cite this article:

Shan CHANG,Hong CHEN,Guoping TANG. Augmentation quotients for complex representation rings of dihedral groups[J]. Front Math Chin, 2012, 7(1): 1-18.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-011-0162-5
https://academic.hep.com.cn/fmc/EN/Y2012/V7/I1/1

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