Geodesic
On homogeneous vector bundles and groups of diffeomorphism of compact homogeneous spaces
Izvestiya. Mathematics , Tome 9 (1975) no. 6, pp. 1203-1212

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Let $M$ be a homogeneous space of a compact Lie group $K$. We denote by $D_0(M)$ the connected component of the identity in the group of all $C^\infty$-diffeomorphisms of $M$. In this paper it is proved that $D_0(M)$ and some of its closed subgroups are finitely-generated topological groups. It is also proved that the topological $K$-modules arising from the action of the group $K$ on the spaces of $C^k$-sections of homogeneous vector bundles over $M$ are noetherian. Bibliography: 13 titles. 
@article{IM2_1975_9_6_a3,
     author = {A. M. Lukatskii},
     title = {On homogeneous vector bundles and groups of diffeomorphism of compact homogeneous spaces},
     journal = {Izvestiya. Mathematics },
     pages = {1203--1212},
     publisher = {mathdoc},
     volume = {9},
     number = {6},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_6_a3/}
}
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A. M. Lukatskii. On homogeneous vector bundles and groups of diffeomorphism of compact homogeneous spaces. Izvestiya. Mathematics , Tome 9 (1975) no. 6, pp. 1203-1212. http://geodesic.mathdoc.fr/item/IM2_1975_9_6_a3/