Reduced models of Albert algebras
- Cite this article as:
- Petersson, H.P. & Racine, M.L. Math Z (1996) 223: 367. doi:10.1007/PL00004273
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We prove existence and uniqueness of reduced models for arbitrary Albert algebras and relate them to the Tits process. This relationship yields explicit noncohomological realizations of the invariants mod 2 due to Serre and Rost. We also construct nontrivial examples of Albert division algebras with nonvanishing invariants mod 2.