Weak rigid monoidal category

被引：0
|
作者：
Haijun Cao
机构：
[1] Shandong Jiaotong University,School of Science
来源：
Frontiers of Mathematics in China | 2017年 / 12卷
关键词：
Semilattice graded weak Hopf algebra; regular right dual; weak rigid monoidal category; 16W30; 16W50; 16G20; 16G30; 81R50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We define the right regular dual of an object X in a monoidal category C; and give several results regarding the weak rigid monoidal category. Based on the definition of the right regular dual, we construct a weak Hopf algebra structure of H = End(F) whenever (F; J) is a fiber functor from category C to Vec and every X ∈ C has a right regular dual. To conclude, we give a weak reconstruction theorem for a kind of weak Hopf algebra.
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页码：19 / 33
页数：14
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