Multiplicativity, from Lie groups to generalized geometry

2015/11/08 by Kosmann-Schwarzbach, Yvette · 1 citation
#22A22 (Primary) #53D17 #70G45 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1511.02491

Abstract

We survey the concept of multiplicativity from its initial appearance in the theory of Poisson-Lie groups to the far-reaching generalizations, for multivectors and differential forms in the geometry and the generalized geometry of Lie groupoids, as well as their infinitesimal counterparts in the theory of Lie algebroids.

Cited by

• Morita equivalence of shifted symplectic Lie n-groupoids

Related

• Multiplicative forms at the infinitesimal level
• Classical lifting processes and multiplicative vector fields
• Generalized complex structures and Lie brackets
• Multiplicative Ehresmann connections
• Lie theory of vector bundles, Poisson geometry and double structures