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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Indecomposable representations of semisimple Lie groups
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by Birgit Speh PDF
Trans. Amer. Math. Soc. 265 (1981), 1-34 Request permission

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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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 265 (1981), 1-34
  • MSC: Primary 22E45; Secondary 20G05
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0607104-1
  • MathSciNet review: 607104