On the Hopf-Schur group of a field

Mathematics – Quantum Algebra

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

12 pages, latex file

Scientific paper

Let k be any field. We consider the Hopf-Schur group of k, defined as the subgroup of the Brauer group of k consisting of classes that may be represented by homomorphic images of Hopf algebras over k. We show here that twisted group algebras and abelian extensions of k are quotients of cocommutative and commutative Hopf algebras over k, respectively. As a consequence we prove that any tensor product of cyclic algebras over k is a quotient of a Hopf algebra over k, revealing so that the Hopf-Schur group can be much larger than the Schur group of k.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

On the Hopf-Schur group of a field 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 On the Hopf-Schur group of a field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Hopf-Schur group of a field will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-389833

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.