A note on quadratic Jordan algebras of degree 3
Open Access
- 1 January 1972
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 164, 93-103
- https://doi.org/10.1090/s0002-9947-1972-0304447-0
Abstract
McCrimmon has defined a class of quadratic Jordan algebras of degree 3 obtained from a cubic form, a quadratic mapping and a base point. The structure of such an algebra containing no absolute zero-divisor is determined directly. A simple proof of Springer’s Theorem on isomorphism of reduced simple exceptional quadratic Jordan algebras is given.Keywords
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