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- W2953052408 abstract "We prove the universal lifting theorem: for an $alpha$-simply connected and $alpha$-connected Lie groupoid $gm$ with Lie algebroid $A$, the graded Lie algebra of multi-differentials on $A$ is isomorphic to that of multiplicative multi-vector fields on $gm$. As a consequence, we obtain the integration theorem for a quasi-Lie bialgebroid, which generalizes various integration theorems in the literature in special cases. The second goal of the paper is the study of basic properties of quasi-Poisson groupoids. In particular, we prove that a group pair $(D, G)$ associated to a Manin quasi-triple $(mathfrak d, mathfrak g, mathfrak h)$ induces a quasi-Poisson groupoid on the transformation groupoid $Gtimes D/Gtoto D/G$. Its momentum map corresponds exactly with the $D/G$-momentum map of Alekseev and Kosmann-Schwarzbach." @default.
- W2953052408 created "2019-06-27" @default.
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- W2953052408 date "2005-07-19" @default.
- W2953052408 modified "2023-09-27" @default.
- W2953052408 title "Universal lifting theorem and quasi-Poisson groupoids" @default.
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