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doi:10.1007/s11464-018-0709-9

Front. Math. China

2018, Vol. 13

Issue (4) : 947-966 https://doi.org/10.1007/s11464-018-0709-9

RESEARCH ARTICLE

Irreducible

ℤ +

-modules of near-group fusion ring K(

ℤ 3

, 3)

Chengtao YUAN, Ruju ZHAO, Libin LI(

)

School of Mathematical Science, Yangzhou University, Yangzhou 225002, China

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Abstract

The near-group rings are an important class of fusion rings in the theory of tensor categories. In this paper, the irreducible $? +$ -modules over the near-group fusion ring K( $? 3$ , 3) are explicitly classified. It turns out that there are only four inequivalent irreducible $? +$ -modules of rank 2 and two inequivalent irreducible $? +$ -modules of rank 4 over K( $? 3$ , 3).

Keywords ?+-module, near group ring, fusion ring')" href="#">irreducible

? +

-module, near group ring, fusion ring

Corresponding Author(s): Libin LI

Issue Date: 14 August 2018

Cite this article:

Chengtao YUAN,Ruju ZHAO,Libin LI. Irreducible

ℤ +

-modules of near-group fusion ring K(

ℤ 3

, 3)[J]. Front. Math. China, 2018, 13(4): 947-966.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-018-0709-9
https://academic.hep.com.cn/fmc/EN/Y2018/V13/I4/947

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