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Equivalence of holomorphically induced representations of Lie groups with an Abelian normal subgroup
A. A. Zaitsev
Abstract:
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.
Received: 31.03.1981
Citation:
A. A. Zaitsev, “Equivalence of holomorphically induced representations of Lie groups with an Abelian normal subgroup”, Mat. Sb. (N.S.), 118(160):2(6) (1982), 173–183; Math. USSR-Sb., 46:2 (1983), 171–182
Linking options:
https://www.mathnet.ru/eng/sm2247https://doi.org/10.1070/SM1983v046n02ABEH002763 https://www.mathnet.ru/eng/sm/v160/i2/p173
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Abstract page: | 250 | Russian version PDF: | 61 | English version PDF: | 6 | References: | 71 |
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