Abstract:
In this article we investigate the structure of local Lie algebras with a one-dimensional fibre. We show that all such Lie algebras are essentially exhausted by the classical examples of the Hamiltonian and contact Poisson bracket algebras. We give some examples, unsolved problems, and applications of Lie superalgebras
Errata A. A. Kirillov Uspekhi Mat. Nauk, 1977, 32:1(193), 268
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