An Approach to Hopf Algebras via Frobenius Coordinates I
| dc.creator | Kadison, Lars | |
| dc.creator | Stolin, A. A. | |
| dc.date | 2001-03-01 | |
| dc.date | 2001-03-05 | |
| dc.date.accessioned | 2026-07-07T04:40:26Z | |
| dc.date.available | 2026-07-07T04:40:26Z | |
| dc.description | In Section 1 we introduce Frobenius coordinates in the general setting that includes Hopf subalgebras. In Sections 2 and 3 we review briefly the theories of Frobenius algebras and augmented Frobenius algebras with some new material in Section 3. In Section 4 we study the Frobenius structure of an FH-algebra H \cite{Par72} and extend two recent theorems in \cite{EG}. We obtain two Radford formulas for the antipode in H and generalize in Section 7 the results on its order in \cite{FMS}. We study the Frobenius structure on an FH-subalgebra pair in Sections 5 and 6. In Section 8 we show that the quantum double of H is symmetric and unimodular. | |
| dc.description | 24 pages. To appear: Beitrage Alg. Geom | |
| dc.identifier | https://arxiv.org/abs/math/0103001 | |
| dc.identifier | http://arxiv.org/abs/math/0103001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61029 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30;16H05;16L60 | |
| dc.title | An Approach to Hopf Algebras via Frobenius Coordinates I | |
| dc.type | text |