A general Kirillov Theory for locally compact nilpotent groups

TL;DR

This paper develops a comprehensive Kirillov theory applicable to a broad class of nilpotent groups, unifying various known cases and providing a general framework for understanding their representations.

Contribution

It introduces a unified Kirillov theory for certain nilpotent groups, expanding the scope of previous specific cases and offering a general approach.

Findings

Provides a unified framework for nilpotent group representations

Extends Kirillov theory to broader classes of groups

Synthesizes known examples into a general theory

Abstract

We discuss a very general Kirillov Theory for the representations of certain nilpotent groups which gives a combined view an many known examples from the literature.