Cuspidal irreducible complex or l-modular representations of quaternionic forms of p-adic classical groups for odd p

نویسندگان

چکیده

Given a quaternionic form $$\textrm{G}$$ of p-adic classical group (p odd) we classify all cuspidal irreducible representations with coefficients in an algebraically closed field characteristic different from p. We prove two theorems: At first: Every representation is induced type, i.e. certain compact open subgroup , constructed $$\beta $$ -extension and finite group. Secondly show that intertwining types are up to equivalence conjugate under some element .

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ژورنال

عنوان ژورنال: Monatshefte für Mathematik

سال: 2023

ISSN: ['0026-9255', '1436-5081']

DOI: https://doi.org/10.1007/s00605-023-01830-5