Irreducible ℤ+-modules of near-group fusion ring K(ℤ3, 3)

doi:10.1007/s11464-018-0709-9

Frontiers of Mathematics in China

2018, Vol. 13

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

本期目录

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

全文: PDF(313 KB)

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).

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

? +

-module, near group ring, fusion ring

收稿日期: 2017-12-10 出版日期: 2018-08-14

Corresponding Author(s): Libin LI

引用本文:

. [J]. Frontiers of Mathematics in China, 2018, 13(4): 947-966.
Chengtao YUAN, Ruju ZHAO, Libin LI. Irreducible

ℤ +

-modules of near-group fusion ring K(

ℤ 3

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

链接本文:

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

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