(Mohamed Boudiaf University of Msila, Faculty of Mathematics and Computer Sciences, Department of Mathematics, 2024-06) Yahiaoui, Loqman; Midoune, Noureddine: Supervisor
The study presented in this thesis focuses on the determination of the
automorphisms group of some trivectors (or alternating trilinear forms) in
dimension ≤ 8. To classify the trivectors, we use algebraic invariants which make
it possible to better understand the classification of these forms. For example,
we can use the automorphisms group of the trivector ω, Aut(ω), because two
trivectors ω1 and ω2 are equivalent if and only if their automorphisms group
Aut(ω1) and Aut(ω2) are the same. In this thesis, we recall the main part of the
known results on the classi cation of trivectors, and we determine the group of
automorphisms of some trivectors.