G. Carnovale

activity

19982005

most citedWhen is a cleft extension Azumaya?

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2004Show all

3 papers · 1 filter

math.QA2004

Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras

Julien Bichon, Giovanna Carnovale

We propose a detailed systematic study of a group H^2_L(A) associated, by elementary means of lazy 2-cocycles, to any Hopf algebra A. This group was introduced by Schauenburg (with…

math.RA2004★ 2 cited

When is a cleft extension Azumaya?

Giovanna Carnovale

We show which $H^{o p}$ -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 bijecti…

math.RT2004

Cocycle twisting of E(n)-module algebras and applications to the Brauer group

G. Carnovale, J. Cuadra

We classify the orbits of coquasi-triangular structures for the Hopf algebra E(n) under the action of lazy cocycles and the Hopf automorphism group. This is applied to detect subgr…