Vortrag im Schwerpunkt Reelle Geometrie und Algebra
Donnerstag, 22. Januar 2009, um 17:00 Uhr in F426 (Schwerpunktkolloquium) Mélanie Raczek (Louvain-la-Neuve) Ternary cubic forms and central simple algebras of degree 3
We consider a pair (A,V) where A is a degree 3 central simple algebra over a field F and V is a 3-dimensional vector space of
the trace zero elements of A that is totally isotropic for the trace quadratic form. This pair gives rise to a cubic form mapping
an element of V to its cube. Using Galois cohomology and geometrical properties of cubic forms, we describe explicitly such
pairs up to isomorphism.
