A Jordan-Holder theorem for weakly group-theoretical fusion categories

被引：2
|
作者：
Natale, Sonia [1 ]
机构：
[1] Univ Nacl Cordoba, Fac Matemat Astron & Fis, CIEM CONICET, Ciudad Univ, RA-5000 Cordoba, Argentina
来源：
MATHEMATISCHE ZEITSCHRIFT | 2016年 / 283卷 / 1-2期
关键词：
Fusion category; Nilpotent fusion category; Weakly group-theoretical fusion category; Composition series; Jordan-Holder theorem; TENSOR CATEGORIES; HOPF-ALGEBRAS; FINITE-GROUP;
D O I：
10.1007/s00209-015-1601-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a version of the Jordan-Holder theorem in the context of weakly group-theoretical fusion categories. This allows us to introduce the composition factors and the length of such a fusion category C, which are in fact Morita invariants of C.
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页码：367 / 379
页数：13
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