On the Cassels-Pfister theorem

by Markus Rost (Notes, May 21, 1992, September 13, 2002, 3 pages)

In this extremely preliminary notes we discuss proofs of the Cassels-Pfister Theorem and a variant of it for division algebras.

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On the classification of Albert algebras

by Markus Rost (Notes, September 3, 2002, 9 pages)

In this note we consider some constructions for Albert algebras (a.k.a. exceptional Jordan algebras a.k.a. F_4 torsors). We discuss orders, Cassels-Pfister type theorems and applications to the classification.

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