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A SURVEY ON ALBERT ALGEBRAS

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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.

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  1. Fakultät für Mathematik und Informatik, FernUniversität in Hagen, D-58084, Hagen, Germany

    HOLGER P. PETERSSON

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PETERSSON, H.P. A SURVEY ON ALBERT ALGEBRAS. Transformation Groups 24, 219–278 (2019). https://doi.org/10.1007/s00031-017-9471-4

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