Haile, Darrell E. and Knus, Max-Albert and Rost, Markus and Tignol, Jean-Pierre (1996) Algebras of odd degree with involution, trace forms and dihedral extensions. ISRAEL JOURNAL OF MATHEMATICS, 96. pp. 299-340. ISSN 0021-2172, 1565-8511
Full text not available from this repository.Abstract
A 3-fold Pfister form is associated to every involution of the second kind on a central simple algebra of degree 3. This quadratic form is associated to the restriction of the reduced trace quadratic form to the space of symmetric elements; it is shown to classify involutions up to conjugation. Subfields with dihedral Galois group in central simple algebras of arbitrary odd degree with involution of the second kind are investigated. A complete set of cohomological invariants for algebras of degree 3 with involution of the second kind is given.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Nov 2023 07:15 |
| Last Modified: | 15 Nov 2023 07:15 |
| URI: | https://pred.uni-regensburg.de/id/eprint/52048 |
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