A survey on Albert algebras

A fairly complete account will be given of what is presently known about Albert algebras over commutative rings. In particular, we sketch a novel approach to the two Tits constructions of cubic Jordan algebras that yields new insights even when the base ring is a field. The paper concludes with a discussion of cohomological invariants and with a number of open problems.

(Updated version of 10 Oct 2017)


H. P. Petersson < holger.petersson@fernuni-hagen.de >