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Let Gn denote either the group Sp(n, F) or SO(2n + 1, F) over a local non-archimedean field F. We study representations of segment type of group Gn, which play a fundamental role in the constructions of discrete series, and obtain a complete description of the Jacquet modules of these representations. Also, we provide an alternative way for determination of Jacquet modules of strongly positive...
To an irreducible square integrable representation π of a classical p-adic group, Mœglin has attached invariants Jord(π), πcusp 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,...
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