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Equivalence of holomorphically induced representations of Lie groups with an Abelian normal subgroup
Sbornik. Mathematics, Tome 46 (1983) no. 2, pp. 171-182 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a unitary representation of a Lie group given by a positive polarization. Suppose the group contains an Abelian normal subgroup of a suitable sort. It is then shown that if we replace the polarization by a certain new one that contains the corresponding Abelian ideal, the equivalence class of the representation is left unchanged. Bibliography: 5 titles. 
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     title = {Equivalence of holomorphically induced representations of {Lie} groups with an {Abelian} normal subgroup},
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A. A. Zaitsev. Equivalence of holomorphically induced representations of Lie groups with an Abelian normal subgroup. Sbornik. Mathematics, Tome 46 (1983) no. 2, pp. 171-182. http://geodesic.mathdoc.fr/item/SM_1983_46_2_a2/

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