Parabolic induction from two segments, linked under contragredient, with a one half cuspidal reducibility, a special case (Q6591279)

It is a fundamental problem in the representation theory of \(p\)-adic groups to determine the composition series of parabolically induced representations.\N\NIn the paper under review, the author classifies a certain class of representations induced from two segments and a cuspidal representation of a classical group. The proof has two parts: The first part is the classification result including the Langlands classification for irreducible representations of \(p\)-adic classical groups and the Moeglin-Tadić classification of discrete series representations of \(p\)-adic classical groups [\textit{C. Moeglin} and \textit{M. Tadić}, J. Am. Math. Soc. 15, No. 3, 715--786 (2002; Zbl 0992.22015)]. The second part consists of Tadić's computation of Jacquet module [\textit{M. Tadić}, J. Algebra 177, No. 1, 1--33 (1995; Zbl 0874.22014)] and the algebraic theory of intertwining operators established by \textit{M. Hanzer} and \textit{G. Muić} in [J. Algebra 320, No. 8, 3206--3231 (2008; Zbl 1166.22011)].