A note on quadratic Jordan algebras of degree $3$
| Autor: | Racine, M. L. |
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| Zdroj: | Transactions of the American Mathematical Society; 1972, Vol. 164 Issue: 1 p93-103, 11p |
| Abstrakt: | 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. |
| Databáze: | Supplemental Index |
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