A Complete Classification Of The Admissible Representations Of Infinite-Dimensional Classical Matrix Groups

TL;DR

This paper provides a comprehensive classification of all admissible unitary representations of infinite-dimensional classical matrix groups, advancing the understanding of their structure.

Contribution

It offers the first complete classification of admissible representations for these infinite-dimensional groups, filling a significant gap in representation theory.

Findings

Complete classification of admissible representations

Identification of unitary equivalence classes

Framework applicable to various infinite-dimensional groups

Abstract

This paper contains a complete description of classes of the unitary equivalence of the admissible representations of infinite-dimensional classic matrix groups paper.