The Miyashita–Ulbrich Action for Weak Hopf Algebras
✍ Scribed by Alonso Álvarez, J. N.; Fernández Vilaboa, J. M.; González Rodríguez, R.
- Book ID
- 126655576
- Publisher
- Taylor and Francis Group
- Year
- 2011
- Tongue
- English
- Weight
- 434 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0092-7872
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📜 SIMILAR VOLUMES
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
Ž < . the Poincare series P A H . In Section 3 we will compare these three ´k Ž . invariants with the ordinary S -cocharacter, GL k -cocharacter, and n Poincare series. As a result of this comparison we show that the following \* Support by the NSF under Grant DMS 9303230. Work done during the autho