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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Indecomposable representations of semisimple Lie groups


Author: Birgit Speh
Journal: Trans. Amer. Math. Soc. 265 (1981), 1-34
MSC: Primary 22E45; Secondary 20G05
MathSciNet review: 607104
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Abstract: Let $ G$ be a semisimple connected linear Lie group, $ {\pi _1}$ a finite-dimensional irreducible representation of $ G$, $ {\pi _2}$ an infinite-dimensional irreducible representation of $ G$ which has a nontrivial extension with $ {\pi _1}$. We study the category of all Harish-Chandra modules whose composition factors are equivalent to $ {\pi _1}$ and $ {\pi _2}$


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DOI: http://dx.doi.org/10.1090/S0002-9947-1981-0607104-1
PII: S 0002-9947(1981)0607104-1
Article copyright: © Copyright 1981 American Mathematical Society