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Reduced models of Albert algebras

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Summary

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.

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Authors and Affiliations

  1. Fachbereich Mathematik, FernUniversität, D-58084, Hagen, Deutschland

    Holger P. Petersson

  2. Department of Mathematics, University of Ottawa, 585 King Edward, K1N 6N5, Ottawa, Ontario, Canada

    Michel L. Racine

Authors
  1. Holger P. Petersson
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  2. Michel L. Racine
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Correspondence to Holger P. Petersson.

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Petersson, H.P., Racine, M.L. Reduced models of Albert algebras. Math Z 223, 367–385 (1996). https://doi.org/10.1007/PL00004273

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  • DOI: https://doi.org/10.1007/PL00004273

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