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

作　　者：Chengtao YUAN Ruju ZHAO Libin LI 

机构地区：[1]School of Mathematical Science, Yangzhou University, Yangzhou 225002, China

出　　处：《Frontiers of Mathematics in China》2018年第4期947-966,共20页中国高等学校学术文摘·数学（英文）

基　　金：This work was supported in part by the National Natural Science Foundation of China （Grant No. 11471282）.

摘　　要：The near-group rings are an important class of fusion rings in the theory of tensor categories. In this paper, the irreducible Z＋-modules over the near-group fusion ring K（Z3, 3） are explicitly classified. It turns out that there are only four inequivalent irreducible Z＋-modules of rank 2 and two inequivalent irreducible Z＋-modules of rank 4 over K（Z3, 3）.The near-group rings are an important class of fusion rings in the theory of tensor categories. In this paper, the irreducible Z＋-modules over the near-group fusion ring K（Z3, 3） are explicitly classified. It turns out that there are only four inequivalent irreducible Z＋-modules of rank 2 and two inequivalent irreducible Z＋-modules of rank 4 over K（Z3, 3）.

关 键 词：irreducible Z＋-module near group ring fusion ring 

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