Effective computation of SO(3) and O(3) linear representations symmetry classes

Marc Olive (1)

1 LMT - Laboratoire de Mécanique et Technologie

We propose a general algorithm to compute all the symmetry classes of any SO(3) or O(3) linear representation. This method relies on the introduction of a binary operator between sets of conjugacy classes of closed subgroups, called the clips. We compute explicit tables for this operation which allows to solve definitively the problem.

Domaines: Géométrie algébrique [math.AG]; Géométrie différentielle [math.DG]; Théorie des représentations [math.RT]; Matériaux et structures en mécanique [physics.class-ph]

Marc Olive. Effective computation of SO(3) and O(3) linear representations symmetry classes. 2017. ⟨hal-01582262v3⟩