Lie algebras connected with associative ones
Grabowski, Janusz
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Grabowski, Janusz
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Haller, Stefan, Rybicki, Tomasz
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Summary: It is proven that the Poisson algebra of a locally conformal symplectic manifold is integrable by making use of a convenient setting in global analysis. It is also observed that, contrary to the symplectic case, a unified approach to the compact and non-compact case is possible.
Marc De Wilde, Pierre B. A. Lecomte (1982)
Commentationes Mathematicae Universitatis Carolinae
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Rybicki, Tomasz
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The concept of evolution operator is used to introduce a weak Lie subgroup of a regular Lie group, and to give a new version of the third Lie theorem. This enables the author to formulate and to study the problem of integrability of infinite-dimensional Lie algebras. Several interesting examples are presented.