Enumerating representations of general unitary groups over principal ideal rings of length 2

TL;DR

This paper counts the complex irreducible representations of general unitary groups of degree 4 over specific algebraic structures called principal ideal rings of length 2, providing detailed enumeration results.

Contribution

It provides the first explicit enumeration of irreducible representations of these groups over principal ideal rings of length 2.

Findings

Enumerated all irreducible representations of the groups

Determined the degrees of these representations

Provided formulas for counting representations

Abstract

We enumerate the number of complex irreducible representations of each degree of general unitary groups of degree 4 over principal ideal rings of length 2.