Article

Mathematische Zeitschrift

, Volume 223, Issue 3, pp 367-385

First online:

Reduced models of Albert algebras

  • Holger P. PeterssonAffiliated withFachbereich Mathematik, FernUniversität Email author 
  • , Michel L. RacineAffiliated withDepartment of Mathematics, University of Ottawa

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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.