Maschke functors, semisimple functors and separable functors of the second kind. Applications
| dc.creator | Caenepeel, S. | |
| dc.creator | Militaru, G. | |
| dc.date | 2001-12-20 | |
| dc.date.accessioned | 2026-07-07T04:45:24Z | |
| dc.date.available | 2026-07-07T04:45:24Z | |
| dc.description | We introduce separable functors of the second kind (or $H$-separable functors) and $H$-Maschke functors. $H$-separable functors are generalizations of separable functors. Various necessary and sufficient conditions for a functor to be $H$-separable or $H$-Maschke, in terms of generalized (co)Casimir elements (integrals, in the case of Hopf algebras), are given. An $H$-separable functor is always $H$-Maschke, but the converse holds in particular situations. A special role will be played by Frobenius functors and their relations to $H$-separability. Our concepts are applied to modules, comodules, entwined modules, quantum Yetter-Drinfeld modules, relative Hopf modules. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0112226 | |
| dc.identifier | http://arxiv.org/abs/math/0112226 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62942 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30; 16B50 | |
| dc.title | Maschke functors, semisimple functors and separable functors of the second kind. Applications | |
| dc.type | text |