When is a cleft extension Azumaya?
| dc.creator | Carnovale, Giovanna | |
| dc.date | 2004-04-21 | |
| dc.date.accessioned | 2026-07-07T05:07:37Z | |
| dc.date.available | 2026-07-07T05:07:37Z | |
| dc.description | We show which $H^{op}$-cleft extensions $k#_σH^{op}$ of the base field $k$ for a dual quasitriangular Hopf algebra $(H, r)$ are $H$-Azumaya. The result is given in terms of bijectivity of a map $θ_σ\colon H\to H^*$ defined in terms of $r$ and the 2-cocycle $σ$, generalizing a well-known result for the commutative and cocommutative case. We illustrate the Theorem with an explicit computation for the Hopf algebras of type E(n). | |
| dc.identifier | https://arxiv.org/abs/math/0404381 | |
| dc.identifier | http://arxiv.org/abs/math/0404381 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70925 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30; 16H05; 16K50 | |
| dc.title | When is a cleft extension Azumaya? | |
| dc.type | text |