Mathematics – Quantum Algebra
Scientific paper
2007-08-14
Mathematics
Quantum Algebra
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.
Aljadeff Eli
Cuadra Juan
Gelaki Shlomo
Meir Ehud
No associations
LandOfFree
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.
Profile ID: LFWR-SCP-O-389833