Generic reducing fields of Jordan pairs
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- by Holger P. Petersson PDF
- Trans. Amer. Math. Soc. 285 (1984), 825-843 Request permission
Abstract:
Generic reducing fields of Jordan pairs, generalizing at the same time generic splitting fields of associative algebras and generic zero fields of quadratic forms, are intrinsically defined and constructed. The most elementary properties are derived, and the relationship with other generic constructions, particularly those linked to Brauer-Severi varieties, are investigated. As an application it is shown that there exist nonisomorphic exceptional Jordan division algebras having the same splitting fields.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 285 (1984), 825-843
- MSC: Primary 17C20; Secondary 11E76, 12F20, 16A46
- DOI: https://doi.org/10.1090/S0002-9947-1984-0752505-7
- MathSciNet review: 752505