Finite Hopf algebras in braided tensor categories
Finite Hopf algebras in braided tensor categories
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辫状张量范畴中的有限Hopf代数
DOI：
10.1016/s0022-4049(97)00207-7
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发表时间：
1999
影响因子：
0.8
通讯作者：
M. Takeuchi
中科院分区：
文献类型：
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作者：
M. Takeuchi
研究了编织张量范畴中的Hopf代数，重点研究了有限（即刚性）Hopf代数。通过模仿Larson和Sweedler（1969）的Hopf模构造，证明了有限Hopf代数的对对是范畴的同构，证明了左或右积分空间是可逆对象。在整个参数中有效地使用了图解方法。
Hopf algebras in braided tensor categories are studied with emphasis on finite (i.e., rigid) Hopf algebras. By imitating Larson and Sweedler's (1969) Hopf module construction, it is proved that the antipode of a finite Hopf algebra is an isomorphism of the category and that the left or right integral space is an invertible object. Diagrammatic methods are effectively used throughout the arguments.