Hopf-Galois extensions and an exact sequence for $H$-Picard groups

Details Hopf-Galois extensions and an exact sequence for $H$-Picard groups Hopf-Galois extensions and an exact sequence for $H$-Picard groups

2008-12-09

arxiv.org/abs/0812.1691v2

Mathematics

Rings and Algebras

35 pages; to appear in J. Algebra

Scientific paper

Let $H$ be a Hopf algebra, and $A$ an $H$-Galois extension. We investigate
$H$-Morita autoequivalences of $A$, introduce the concept of $H$-Picard group,
and we establish an exact sequence linking the $H$-Picard group of $A$ and the
Picard group of $A^{{\rm co}H}$.

Affiliated with

Also associated with

No associations

Rating

Hopf-Galois extensions and an exact sequence for $H$-Picard groups 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 Hopf-Galois extensions and an exact sequence for $H$-Picard groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopf-Galois extensions and an exact sequence for $H$-Picard groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-282419