Local algebraic diassociative loops and cubic forms

Resumen:

In 1955 Anatolii Malcev wrote a paper ("Analitic loops", Mar sb. USSR) where he constructed analytic local dissociative loops used classical Campbell-Hausdorff formula. 

  In 1968 Yurii Manin published a paper ("Cubic hypersurfaces I, Qiasigroups of points ") we he introduced new notion of local algebraic diassociative  loop.

Recall that a  diassociative loop is a set with multiplication (may be partial) where every two points generate a subgroup.

  In this talk I will give recent results in this direction. 

Compartir este seminario