On the local factors of irreducible representations of quaternionic unitary groups

TL;DR

This paper defines the analytic gamma-factors for irreducible representations of quaternionic unitary groups, extending previous work by Lapid-Rallis to provide a more comprehensive understanding of these local factors.

Contribution

It introduces a precise definition of gamma-factors for quaternionic unitary groups, advancing the theory of local factors in representation theory.

Findings

Defined analytic gamma-factors for quaternionic unitary groups

Extended Lapid-Rallis' work to a new class of groups

Provides a foundation for further study of local factors in quaternionic settings

Abstract

In this paper, we give a precise definition of the analytic $\gamma$-factors of irreducible representations of quaternionic unitary groups, which extends a work of Lapid-Rallis.