<b>Finiteness of Hermitian Levels of some Algebras</b> - doi: 10.5269/bspm.v29i2.12850
Keywords:
Quaternion algebra, octonion algebra, level, hermitian level, sums of squares, quadratic forms.
Abstract
We characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process.
It is shown that all values of the hermitian levels of quaternion algebras with the hat-involution also occur as hermitian levels of D. We give some limits to the levels of the algebra D over some ground field.
Downloads
Download data is not yet available.
Issue
Section
Research Articles
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
