The equivariant Brauer group of a group

Details The equivariant Brauer group of a group The equivariant Brauer group of a group

2004-08-24

arxiv.org/abs/math/0408334v1

Mathematics

Rings and Algebras

13 pages

Scientific paper

We consider the Brauer group ${\rm BM}'(k,G)$ of a group $G$ (finite or infinite) over a commutative ring $k$ with identity. A split exact sequence $$1\longrightarrow {\rm Br}'(k)\longrightarrow {\rm BM}'(k,G)\longrightarrow {\rm Gal}(k,G) \longrightarrow 1$$ is obtained. This generalizes the Fr\"ohlich-Wall exact sequence from the case of a field to the case of a commutative ring, and generalizes the Picco-Platzeck exact sequence from the finite case of $G$ to the infinite case of $G$. Here ${\rm Br}'(k)$ is the Brauer-Taylor group of Azumaya algebras (not necessarily with unit). The method developed in this paper might provide a key to computing the equivariant Brauer group of an infinite quantum group.

Affiliated with

Also associated with

No associations

Rating

The equivariant Brauer group of a group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The equivariant Brauer group of a group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The equivariant Brauer group of a group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-249560