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Explore a 32-minute mathematics lecture that delves into Neeb's theorem on the integrability of central Lie algebra extensions in infinite dimensions, presented at the Erwin Schrödinger International Institute's Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications." Learn about two distinct integration methods, specifically applied to current groups and diffeomorphism groups, examining both the path groups approach and the prequantization central extension developed by Kostant and Souriau.
