On R-triviality of F4, II
| Autor: | Thakur, M. (Maneesh) |
|---|---|
| Přispěvatelé: | Universitäts- und Landesbibliothek Münster |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| DOI: | 10.17879/06089642750 |
| Popis: | Simple algebraic groups of type F4 defined over a field k are the full automorphism groups of Albert algebras over k. Let A be an Albert algebra over a field k of arbitrary characteristic whose isotopes are all isomorphic. We prove that Aut(A) is R-trivial, in the sense of Manin. If k contains cube roots of unity and A is any Albert algebra over k, we prove that there is an isotope A(v) of A such that Aut(A(v)) is R-trivial. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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