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Composition series of a class of induced representations built on discrete series

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Abstract

We have determined composition series of a class of induced representations appearing in Mœglin–Tadić classification of discrete series. The result is further used to determine the composition series of certain representations induced from Langlands quotients. This should provide more information on decomposing standard representations as well as Jacquet modules of discrete series, which has applications in automorphic forms.

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Correspondence to Igor Ciganović.

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The author is employed at Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10 000 Zagreb, Croatia.

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This work has been fully supported by Croatian Science Foundation under the project IP-2018-01-3628.

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Ciganović, I. Composition series of a class of induced representations built on discrete series. manuscripta math. 170, 1–18 (2023). https://doi.org/10.1007/s00229-021-01348-w

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  • DOI: https://doi.org/10.1007/s00229-021-01348-w

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