Depth two, normality and a trace ideal condition for Frobenius extensions
| dc.creator | Kadison, Lars | |
| dc.creator | Külshammer, Burkhard | |
| dc.date | 2004-09-20 | |
| dc.date | 2006-01-20 | |
| dc.date.accessioned | 2026-07-07T06:38:49Z | |
| dc.date.available | 2026-07-07T06:38:49Z | |
| dc.description | We review the depth two and Hopf algebroid-Galois theory in math.RA/0108067 and specialize to induced representations of semisimple algebras and character theory of finite groups. We show that depth two subgroups over the complex numbers are normal subgroups. As a converse we observe that normal Hopf subalgebras over a field are depth two extensions. We introduce a generalized Miyashita-Ulbrich action on the centralizer of a ring extension, and apply it to a study of depth two and separable extensions, providing new characterizations of separable and H-separable extensions. With a view to the problem of when separable extensions are Frobenius, we supply a trace ideal condition for when a ring extension is Frobenius. | |
| dc.description | final version, 19 pages. to appear: Communications in Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0409346 | |
| dc.identifier | http://arxiv.org/abs/math/0409346 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100873 | |
| dc.subject | Group Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 11R32, 16L60, 20L05, 20C15 | |
| dc.title | Depth two, normality and a trace ideal condition for Frobenius extensions | |
| dc.type | text |