Finiteness of hermitian levels of some algebras
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Sociedade Paranaense de Matemática
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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. © Soc. Paran. de Mat.
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English
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Boletim da Sociedade Paranaense de Matematica, v. 29, n. 2, p. 69-80, 2011.
