Splitting fields of central simple algebras of exponent 2

Relatore:  Karim Johannes Becher - Universiteit Antwerpen
  martedì 3 maggio 2016 alle ore 12.00
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.

Luogo
Ca' Vignal - Piramide, Piano 0, Sala Verde

Referente
Peter Michael Schuster

Referente esterno
Data pubblicazione
19 aprile 2016

Offerta formativa

Condividi