Unipotent almost characters of simple p-adic groups, II

TL;DR

This paper explores conjectures regarding unipotent almost characters of simple p-adic groups, using a generalized matrix that extends the nonabelian Fourier transform, aiming to deepen understanding of these characters.

Contribution

It introduces new conjectures linking unipotent almost characters to a generalized Fourier transform matrix for simple p-adic groups.

Findings

Proposes conjectures on unipotent almost characters.

Generalizes the nonabelian Fourier transform matrix.

Provides a framework for future proofs.

Abstract

This paper contains some conjectures about the unipotent almost characters of a simple p-adic group in terms of a matrix which generalizes the nonabelian Fourier transform matrix introduced by the author in 1979.