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arXiv · 1401.8154

Universal continuous bilinear forms for compactly supported sections of Lie algebra bundles and universal continuous extensions of certain current algebras

Jan Milan Eyni
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Abstract

We construct a universal continuous invariant bilinear form for the Lie algebra of compactly supported sections of a Lie algebra bundle in a topological sense. Moreover we construct a universal continuous central extension of a current algebra that is the tensor product of a finite-dimensional Lie algebra g and a certain topological algebra A. In particular taking A as the compactly supported smooth functions on a sigma-compact manifold M, we obtain a more detailed justification for a recent result of Janssens and Wockel concerning a universal extension for the Lie algebra of compactly supported g-valued smooth functions on M.

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Jan Milan Eyni. 2014-01-31. Universal continuous bilinear forms for compactly supported sections of Lie algebra bundles and universal continuous extensions of certain current algebras. https://arxiv.org/abs/1401.8154

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