%0 Journal Article
%T Finiteness of Hermitian Levels of Some Algebras
%A Clotilzio Moreira dos Santos
%J Boletim da Sociedade Paranaense de Matem¨¢tica
%D 2011
%I Sociedade Brasileira de Matem¨¢tica
%X We characterize the hermitian levels of quaternion and octonion algebrasand 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.
%K KeyWords:Quaternion algebra
%K octonion algebra
%K level
%K hermitian level
%K sums of squares
%K quadratic forms.
%U http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/12850/6759