| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000398559 |
| ISSN: | 0037-8712 |
| Authors: | Santos, Clotilzio Moreira dos1 |
| Institutions: | 1Universidade Estadual Paulista "Julio de Mesquita Filho", Instituto de Biociencias, Letras e Ciencias Exatas, Sao Jose do Rio Preto, Sao Paulo. Brasil |
| Year: | 2011 |
| Volumen: | 29 |
| Number: | 2 |
| Pages: | 69-80 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English 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 |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Algebra, Algebras, Algebras de composición, Cuaterniones, Octoniones, Anillos, Formas cuadráticas, Campos |
| Keyword: | Mathematics, Pure mathematics, Algebra, Algebras, Composition algebras, Quaternions, Octonions, Rings, Quadratic forms, Fields |
| Full text: | Texto completo (Ver PDF) |
