Bernhardsson, BoCobos Díaz, FernandoKühn, TomasMondoc, DanielPeetre, Jaak2023-06-202023-06-2020061736-6046https://hdl.handle.net/20.500.14352/50766So 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.engjournal articlehttp://www.kirj.ee/public/va_fm/phys-2006-3-4.pdfrestricted access519.6Trilinear formQuaternionDiscriminantPrincipal minorAnálisis numérico1206 Análisis Numérico