Weak Hopf algebras and quantum groupoids

• Autorzy: P. Schauenburg
• Języki publikacji: EN

Abstrakty

EN

We give a detailed comparison between the notion of a weak Hopf algebra (also called a quantum groupoid by Nikshych and Vainerman), and that of a $×_R$-bialgebra due to Takeuchi (and also called a bialgebroid or quantum (semi)groupoid by Lu and Xu). A weak bialgebra is the same thing as a $×_R$-bialgebra in which R is separable. We extend the comparison to cover module and comodule theory, duality, and the question when a bialgebroid should be called a Hopf algebroid.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 61
• Numer: 1
• Strony: 171-188

Daty

wydano

2003

Twórcy

autor

P. Schauenburg

• Mathematisches Institut der Universität München, Theresienstr. 39, 80333 München, Germany

Identyfikatory

DOI

10.4064/bc61-0-12