Geodesic
Examples of explicit calculation of the~inductive limit of a~family of Lie algebras
Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 369-379

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The inductive limits of some families of Lie algebras are considered. Under discussion are algebras of vector fields on a manifold that preserve a volume form or a symplectic form and have supports in coordinate neighbourhoods. The family of all commutative subalgebras of the Lie algebra of the skew-Hermitian matrices of order larger than two is studied. The explicit form of the inductive limits is indicated. 
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     author = {R. S. Ismagilov},
     title = {Examples of explicit calculation of the~inductive limit of a~family of {Lie} algebras},
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R. S. Ismagilov. Examples of explicit calculation of the~inductive limit of a~family of Lie algebras. Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 369-379. http://geodesic.mathdoc.fr/item/SM_2000_191_3_a4/