Weak Hopf algebras and quantum groupoids
| dc.creator | Schauenburg, Peter | |
| dc.date | 2002-04-13 | |
| dc.date.accessioned | 2026-07-07T04:47:41Z | |
| dc.date.available | 2026-07-07T04:47:41Z | |
| dc.description | 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 $\times_R$-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 $\times_R$-bialgebra in which $R$ is Frobenius-separable. We extend the comparison to cover module and comodule theory, duality, and the question when a bialgebroid should be called a Hopf algebroid. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0204180 | |
| dc.identifier | http://arxiv.org/abs/math/0204180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63813 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | Weak Hopf algebras and quantum groupoids | |
| dc.type | text |