Artigo
Finiteness of hermitian levels of some algebras
Fecha
2011-04-12Registro en:
Boletim da Sociedade Paranaense de Matematica, v. 29, n. 2, p. 69-80, 2011.
0037-8712
2175-1188
10.5269/bspm.v29i2.12850
2-s2.0-79953766431
2-s2.0-79953766431.pdf
8552426799060034
Autor
Universidade Estadual Paulista (Unesp)
Resumen
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.