The groupoid structure of groupoid morphisms

The Monodromy Groupoid of a Lie Groupoid

R esum e: Nous d emontrons que, sous des circomstances g en erales, l'union disjoint des couvertes universales des etoiles d'un groupo de de Lie admet le structure d'un groupo de de Lie auquel que le projection a une propri et e de monodromie sur les extensions des morphismes emousse. Ca compl etes une conte d etailles des r esultats annonc es par J. Pradines. Introduction The notion of monodro...

Groupoid of orientational variants.

Daughter crystals in orientation relationship with a parent crystal are called variants. They can be created by a structural phase transition (Landau or reconstructive), by twinning or by precipitation. Internal and external classes of transformations defined from the point groups of the parent and daughter phases and from a transformation matrix allow the orientations of the distinct variants ...

Revisiting the Tangent Groupoid

The setup of a quantization in a Tangent Groupoid structure is reviewed from the point of view of the action of Butcher Group. In this sense, quantization is implied by renormalization.

More on Groupoid Schemes

More on Groupoid Schemes