Abstract
A simple, yet rigorous derivation of all possible forms of a local Lie algebra ℒ g subject to a certain finiteness condition is presented. This result is used to describe all possible continuous finite dimensional representations of ℒ g .
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Joseph, A. A classification of local current algebras. Commun.Math. Phys. 19, 106–118 (1970). https://doi.org/10.1007/BF01646629
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DOI: https://doi.org/10.1007/BF01646629