Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
Journal für die reine und angewandte Mathematik, Tome 347 (1984), pp. 69-133.

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Mots-clés : unitary cocycle representations, loop groups, diffeomorphisms of the circle, Banach Lie groups, finite dimensional semi-simple Lie groups, central extension, holomorphic representations, Shale-Weil representation, Stone-von Neumann theorem
@article{JRAM_1984__347_152598,
     author = {Nolan R. Wallach and Roe Goodman},
     title = {Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.},
     journal = {Journal f\"ur die reine und angewandte Mathematik},
     pages = {69--133},
     publisher = {mathdoc},
     volume = {347},
     year = {1984},
     zbl = {0514.22012},
     url = {http://geodesic.mathdoc.fr/item/JRAM_1984__347_152598/}
}
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Nolan R. Wallach; Roe Goodman. Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.. Journal für die reine und angewandte Mathematik, Tome 347 (1984), pp. 69-133. http://geodesic.mathdoc.fr/item/JRAM_1984__347_152598/