An alternative notion of Hopf algebroid
| dc.creator | B"ohm, Gabriella | |
| dc.date | 2003-01-16 | |
| dc.date | 2003-12-03 | |
| dc.date.accessioned | 2026-07-07T04:54:29Z | |
| dc.date.available | 2026-07-07T04:54:29Z | |
| dc.description | In [1] a new notion of Hopf algebroid has been introduced. It was shown to be inequivalent to the structure introduced under the same name in [17]. We review this new notion of Hopf algebroid. We prove that two Hopf algebroids are isomorphic as bialgebroids if and only if their antipodes are related by a `twist' i.e. are deformed by the analogue of a character. A precise relation to weak Hopf algebras is given. After the review of the integral theory of Hopf algebroids we show how a right bialgebroid can be made a Hopf algebroid in the presence of a non-degenerate left integral. This can be interpreted as the `half of the Larson-Sweedler theorem'. As an application we construct the Hopf algebroid symmetry of an abstract depth 2 Frobenius extension [2]. | |
| dc.description | 19 pages LaTeX 2e file, notations explained in more details, references updated | |
| dc.identifier | https://arxiv.org/abs/math/0301169 | |
| dc.identifier | http://arxiv.org/abs/math/0301169 | |
| dc.identifier | Lect. Notes in Pure and Appl. Math. 239, 31-54 Dekker 2004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66269 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | An alternative notion of Hopf algebroid | |
| dc.type | text |