# Composition series of a class of induced representations built on discrete series

## TL;DR

This paper determines the composition series of certain induced representations related to discrete series, aiding the understanding of their structure and applications in automorphic forms.

## Contribution

It provides explicit composition series for a class of induced representations in the Moeglin-Tadić classification, enhancing the understanding of their structure.

## Key findings

- Determined composition series for a class of induced representations.
- Applied results to decompose standard representations and Jacquet modules.
- Enhanced understanding of representations in automorphic forms.

## Abstract

We have determined composition series of a class of induced representations appearing in Moeglin Tadi\'c classification of discrete series. The result is further used to determine composition series of certain representations induced from Langlands quotients. This should provide more information on decomposing standard representations as well as Jacquet modules of discrete series, which has application in automorphic forms.