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On invariants of discrete series representations of classical p-adic groups

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Abstract

To an irreducible square integrable representation π of a classical p-adic group, Mœglin has attached invariants Jord(π), π cusp and \({\epsilon_\pi}\). These triples classify square integrable representations modulo cuspidal data (assuming a natural hypothesis). The definition of these invariants in Mœglin (J Eur Math Soc 4(2):143–200, 2002) is rather simple—in terms of induced representations, except at one case when a coherent normalization of standard intertwining operators is required. In this paper we show how one can define this case also in terms of induced representations.

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Correspondence to Marko Tadić.

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Tadić, M. On invariants of discrete series representations of classical p-adic groups. manuscripta math. 135, 417–435 (2011). https://doi.org/10.1007/s00229-010-0423-8

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  • DOI: https://doi.org/10.1007/s00229-010-0423-8

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