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arxiv: 1010.3569 · v3 · pith:P7F5SKA7new · submitted 2010-10-18 · 🧮 math.DG · math-ph· math.MP

Universal Central Extensions of Gauge Algebras and Groups

classification 🧮 math.DG math-phmath.MP
keywords centralalgebrasextensiongroupuniversalbundlecanonicalcompact
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We show that the canonical central extension of the group of sections of a Lie group bundle over a compact manifold, constructed in [NW09], is universal. In doing so, we prove universality of the corresponding central extension of Lie algebras in a slightly more general setting.

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