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- W2083670250 abstract "Let $G$ be a connected semisimple matrix group of real rank one. Fix a minimal parabolic subgroup $P = MAN$ and form the (normalized) principal series representations $I_P^G(U)$. In the case of regular infinitesimal character, we explicitly determine (in terms of Langlandsâ classification) all irreducible submodules and quotients of $I_P^G(U)$. As a corollary, all embeddings of an irreducible Harish-Chandra module into principal series are computed. The number of such embeddings is always less than or equal to three. These computations are equivalent to the determination of zero ${mathfrak {n}}$-homology." @default.
- W2083670250 created "2016-06-24" @default.
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- W2083670250 date "1984-02-01" @default.
- W2083670250 modified "2023-10-17" @default.
- W2083670250 title "Embeddings of Harish-Chandra modules, ${germ n}$-homology and the composition series problem: the case of real rank one" @default.
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- W2083670250 doi "https://doi.org/10.1090/s0002-9947-1984-0752491-x" @default.
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