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edited title

edited May 7, 2017 at 13:55

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Some questions on division algebras

Given a field $K$, is there a finite dimensional quiver algebra, such that any finite dimensional division algebra is isomorphic to End(M)/rad(End(M)) for some indecomposable finite dimensional module M?
Can fields with finite Brauer group be somehow characterised?
What are the field with Brauer group equal to $\mathbb{Z}/\mathbb{Z}3$? I do not even know one example. ($\mathbb{Z}/\mathbb{Z}3$ might be replaced by any finite abelian group with at least 3 elements)

rt.representation-theory ra.rings-and-algebras homological-algebra brauer-groups

asked May 7, 2017 at 9:57

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