The explicit Zelevinsky–Aubert duality
نویسندگان
چکیده
In this paper, we give an explicit computable algorithm for the Zelevinsky–Aubert duals of irreducible representations $p$ -adic symplectic and odd special orthogonal groups. To do this, establish formulas certain derivatives socles. We also a combinatorial criterion irreducibility parabolically induced representations.
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2023
ISSN: ['0010-437X', '1570-5846']
DOI: https://doi.org/10.1112/s0010437x22007904