An approach to Hopf algebras via Frobenius coordinates II
| dc.creator | Kadison, Lars | |
| dc.creator | Stolin, A. A. | |
| dc.date | 2001-03-05 | |
| dc.date.accessioned | 2026-07-07T04:40:28Z | |
| dc.date.available | 2026-07-07T04:40:28Z | |
| dc.description | We study a Hopf algebra $H$, which is finitely generated and projective over a commutative ring $k$, as a $P$-Frobenius algebra. We define modular functions in this setting, and provide a complete proof of Radford's formula for the fourth power of the antipode, using Frobenius algebraic techniques. As further applications, we extend Etingof and Gelaki's result that a separable and coseparable Hopf algebra has antipode of order two, the result of Schneider that Hopf subalgebras are twisted Frobenius extensions, and show that the quantum double is always a Frobenius algebra. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0103019 | |
| dc.identifier | http://arxiv.org/abs/math/0103019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61039 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30, 16L60 | |
| dc.title | An approach to Hopf algebras via Frobenius coordinates II | |
| dc.type | text |