Induction-by-stages of Dixmier algebras and orbit datum and its application (Q5955894)

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scientific article; zbMATH DE number 1707012
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Induction-by-stages of Dixmier algebras and orbit datum and its application
scientific article; zbMATH DE number 1707012

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    Induction-by-stages of Dixmier algebras and orbit datum and its application (English)
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    18 February 2002
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    This article gives a proof of induction by stages for Dixmier algebras and orbit data. As an application, it is shown that for \(\text{SO}(2n+ 1,C)\), \(\text{SP}(2n,C)\), \(F_4\) and \(G_2\), the inductions of complete prime Abel orbit data are independent of the choices of parabolic subgroups.
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    induction by stages
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    Dixmier algebras
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    orbit data
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    complete prime Abel orbit data
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