| Título: | Quaternary binary trilinear forms of norm unity |
| Autores: | Bernhardsson, Bo ; Cobos, Fernando ; Kühn, Tomas ; Mondoc, Daniel ; Peetre, Jaak |
| Tipo de documento: | texto impreso |
| Editorial: | Estonian Academy of Sciences, 2006 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis numérico , Tipo = Artículo |
| Resumen: |
So far trilinear forms have mostly been considered in low dimensions, in particular the dimension two (binary) case, and when the ring of scalars K is either the real numbers R or the complex ones C. The main aim in both situations has been to decide when a normalized form has norm unity. Here we consider the case of quaternions, K = H. This note is rather preliminary, and somewhat experimental, where the computer program Mathematica plays a certain role. A preliminary result obtained is that the form has norm unity if and only if the discriminant of a certain 5-dimensional quadratic form has all its principal minors nonnegative. We found also a rather unexpected similarity between the noncommutative case of Hnand the commutative one of R and C. |
| En línea: | https://eprints.ucm.es/id/eprint/22394/1/Cobos-Quaternary.pdf |
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