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On Weak Crossed Products of Weak Hopf Algebras

✍ Scribed by Liu, Ling; Shen, Bing-liang; Wang, Shuan-hong


Book ID
120339888
Publisher
Springer Netherlands
Year
2011
Tongue
English
Weight
410 KB
Volume
16
Category
Article
ISSN
1386-923X

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On the Structure of Weak Hopf Algebras
✍ Dmitri Nikshych 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 252 KB

We study the group of group-like elements of a weak Hopf algebra and derive an analogue of Radford's formula for the fourth power of the antipode S; which implies that the antipode has a finite order modulo, a trivial automorphism. We find a sufficient condition in terms of TrðS 2 Þ for a weak Hopf