Pumpluen, Susanne (2003) Involutions on composition algebras. INDAGATIONES MATHEMATICAE-NEW SERIES, 14 (2). pp. 241-248. ISSN 0019-3577
Full text not available from this repository.Abstract
Involutions on composition algebras over rings where 2 is invertible are investigated. It is proved that there is a one-one correspondence between non-standard involutions of the first kind, and composition subalgebras of half rank. Every non-standard involution of the first kind is isomorphic to the natural generalization of Lewis's hat-involution [L]. Any involution of the second kind on a composition algebra C over a quadratic etale R-algebra S can be written as the tensor product of the standard involution of a unique R-composition subalgebra of C and the standard involution of SIR. The latter generalizes a well-known theorem of Albert on quaternion algebras with unitary involutions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CURVES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Aug 2021 09:40 |
| Last Modified: | 05 Aug 2021 09:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/38891 |
Actions (login required)
 |
View Item |
