The hermitian level of composition algebras

Pumpluen, Susanne and Unger, T. (2002) The hermitian level of composition algebras. MANUSCRIPTA MATHEMATICA, 109 (4). pp. 511-525. ISSN 0025-2611

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Abstract

The hermitian level of composition algebras with involution over a ring is studied. In particular, it is shown that the hermitian level of a composition algebra with standard involution over a semilocal ring, where two is invertible, is always a power of two when finite. Furthermore, any power of two can occur as the hermitian level of a composition algebra with non-standard involution. Some bounds are obtained for the hermitian level of a composition algebra with involution of the second kind.

Item Type: Article
Uncontrolled Keywords: QUATERNION ALGEBRAS; CURVES;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 25 Aug 2021 12:23
Last Modified: 25 Aug 2021 12:23
URI: https://pred.uni-regensburg.de/id/eprint/39636

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