Original scientific paper

https://doi.org/10.3336/gm.60.2.05

Induction from two linked segments with one half border and cuspidal reducibility

Igor Ciganović ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia

Download JATS file

Abstract

In this paper, we determine the composition series of the induced representation
\(\delta([\nu^{\frac{1}{2}}\rho,\nu^c\rho])\times
\delta([\nu^{-a}\rho,\nu^b\rho])
\rtimes \sigma\)
where
\(a, b, c \in \mathbb{Z}+\frac{1}{2}\) such that \(\frac{1}{2}\leq a \lt b \lt c\),
\(\rho\) is an irreducible cuspidal unitary representation of a general linear group
and
\(\sigma\) is an irreducible cuspidal representation of a classical group
such that \(\nu^\frac{1}{2}\rho\rtimes \sigma\) reduces.

Keywords

Classical group, composition series, induced representations, p-adic field, Jacquet module

Hrčak ID:

342482

URI

https://hrcak.srce.hr/342482

Publication date:

13.1.2026.

Visits: 287 *