Journal of Lie Theory

no. 3
Globalizations of Infinitesimal Actions on Supermanifolds
Journal of Lie Theory, Volume 24 (2014) no. 3, pp. 809-847
Let G be a Lie supergroup with Lie superalgebra g, M a supermanifold and Vec(M) the set of vector fields on M. Let λ: g -> Vec(M) be an infinitesimal action, i. e., a homomorphism of Lie superalgebras. We show the existence of a local G-action on M inducing the infinitesimal action λ and find necessary and sufficient conditions for the existence of a globalization in the sense of Palais.
DOI: 10.5802/jolt.808
Classification: 58A50, 17B66, 57S20, 32C11
Keywords: Supermanifold, Lie supergroup, vector field, distribution, infinitesimal action, local action, globalization 
@article{JOLT_2014_24_3_a10,
     author = {H. Bergner},
     title = {Globalizations of {Infinitesimal} {Actions} on {Supermanifolds}},
     journal = {Journal of Lie Theory},
     pages = {809--847},
     year = {2014},
     volume = {24},
     number = {3},
     doi = {10.5802/jolt.808},
     zbl = {1317.58009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.808/}
}
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%J Journal of Lie Theory
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H. Bergner. Globalizations of Infinitesimal Actions on Supermanifolds. Journal of Lie Theory, Volume 24 (2014) no. 3, pp. 809-847. doi: 10.5802/jolt.808

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