Open AccessReduced models of Albert algebras
Author(s) -
Holger P. Petersson,
Michel L. Racine
Publication year - 1996
Publication title -
mathematische zeitschrift
Language(s) - English
Resource type - Journals
eISSN - 1432-1823
pISSN - 0025-5874
DOI - 10.1007/bf02621604
Subject(s) - mathematics , uniqueness , construct (python library) , pure mathematics , division (mathematics) , algebra over a field , arithmetic , mathematical analysis , computer science , programming language
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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