Integral theory for Hopf Algebroids
| dc.creator | Böhm, Gabriella | |
| dc.date | 2004-03-11 | |
| dc.date | 2008-12-09 | |
| dc.date.accessioned | 2026-07-07T12:10:20Z | |
| dc.date.available | 2026-07-07T12:10:20Z | |
| dc.description | The theory of integrals is used to analyse the structure of Hopf algebroids, introduced in math.QA/0302325. We prove that the total algebra of the Hopf algebroid is a separable extension of the base algebra if and only if it is a semi-simple extension and if and only if the Hopf algebroid possesses a normalized integral. The total algebra of a finitely generated and projective Hopf algebroid is a Frobenius extension of the base algebrahe Hopf algebroid possesses anormalized integral. We give also a sufficient and necessary condition in terms of integrals under which it is a quasi-Frobenius extension and illustrate by an example that this condition does not hold true in general. Our results are generalizations of classical results on Hopf algebras. | |
| dc.description | LaTeX2e file 30 pages, no figures. v4:missing assumptions added in Thms 4.2, 4.7 and 5.2, new Corollary 4.8 | |
| dc.identifier | https://arxiv.org/abs/math/0403195 | |
| dc.identifier | http://arxiv.org/abs/math/0403195 | |
| dc.identifier | Alg. Rep. Theory 8 (4) (2005) 563-599 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209906 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | Integral theory for Hopf Algebroids | |
| dc.type | text |