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arxiv: 1511.02491 · v3 · pith:IYFUXXKCnew · submitted 2015-11-08 · 🧮 math.SG · math.DG

Multiplicativity, from Lie groups to generalized geometry

classification 🧮 math.SG math.DG
keywords geometrygeneralizedgroupsmultiplicativitytheoryalgebroidsappearanceconcept
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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.

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