Speaker:
Karim Johannes Becher
- Universiteit Antwerpen
Tuesday, May 3, 2016
at
12:00 PM
By Merkurjev’s Theorem every central simple algebra of exponent two is Brauer equivalent to a tensor product of quaternion algebras. In particular, if every quaternion algebra over a given field is split, then there exists no central simple algebra of exponent two over this field. I give an independent elementary proof of the latter fact. While this proof is based on Zorn's Lemma, the statement should also have a constructive proof.
