Multiplicativity, from Lie groups to generalized geometry
Symplectic Geometry
2016-08-05 v3 Differential Geometry
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.
Cite
@article{arxiv.1511.02491,
title = {Multiplicativity, from Lie groups to generalized geometry},
author = {Yvette Kosmann-Schwarzbach},
journal= {arXiv preprint arXiv:1511.02491},
year = {2016}
}
Comments
35 pages, expanded version of a survey at the conference "Geometry of jets and fields" in honor of Janusz Grabowski, at the Banach Center, May 10-16, 2015; minor revision, typos corrected, two examples and two references added in Section 4. Numerous small changes in Version 3. To appear in the Banach Center Publications in 2016