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@article{faucris.255366543,
abstract = {Let M be a manifold with a closed, integral (k + 1)-form omega, and let G be a Frechet-Lie group acting on (M, omega). As a generalization of the Kostant-Souriau extension for symplectic manifolds, we consider a canonical class of central extensions of g by R, indexed by Hk-1(M, R)*. We show that the image of Hk-1(M, Z) in Hk-1(M, R)* corresponds to a lattice of Lie algebra extensions that integrate to smooth central extensions of G by the circle group T. The idea is to represent a class in Hk-1(M, Z) by a weighted submanifold (S, beta), where beta is a closed, integral form on S. We use transgression of differential characters from S and M to the mapping space C-infinity (S, M) and apply the Kostant-Souriau construction on C 8 (S, M).},
author = {Diez, Tobias and Janssens, Bas and Neeb, Karl Hermann and Vizman, Cornelia},
doi = {10.1093/imrn/rnaa085},
faupublication = {yes},
journal = {International Mathematics Research Notices},
note = {CRIS-Team WoS Importer:2021-04-16},
pages = {3794-3821},
peerreviewed = {Yes},
title = {{Central} {Extensions} of {Lie} {Groups} {Preserving} a {Differential} {Form}},
volume = {2021},
year = {2021}
}