On perfection relations in lattices

Anne-Marie Bergé (1) , Jacques Martinet (1)

1 IMB - Institut de Mathématiques de Bordeaux

We explore a few special cases of the following problem in the theory of Euclidean lattices: suppose that the s invariant of lattice exceeds its perfection rank; what are the linear relations induced on the symmetric square?

Domaines: Théorie des nombres [math.NT]

Anne-Marie Bergé, Jacques Martinet. On perfection relations in lattices. Contemporary mathematics, 2009, pp.29-49. ⟨hal-00365948⟩