# Local intertwining relation for metaplectic groups

## TL;DR

This paper establishes a local intertwining relation for metaplectic groups, building on the assumption of a similar relation for non-quasi-split odd special orthogonal groups, advancing understanding in automorphic forms.

## Contribution

It formulates and proves a local intertwining relation for metaplectic groups based on existing relations for orthogonal groups, contributing to the theory of automorphic representations.

## Key findings

- Proves a local intertwining relation for metaplectic groups.
- Relates metaplectic groups to orthogonal groups through intertwining relations.
- Advances the understanding of automorphic forms for metaplectic groups.

## Abstract

In this paper, we formulate and prove a local intertwining relation for metaplectic groups assuming the local intertwining relation for non-quasi-split odd special orthogonal groups.