Roots of unity and lepton mixing patterns from finite flavour symmetries

TL;DR

This paper reviews how finite residual symmetries and roots of unity are used to classify lepton mixing matrices, highlighting the mathematical role of vanishing sums of roots of unity.

Contribution

It provides a comprehensive review of the classification method for lepton mixing matrices based on finite residual symmetries and roots of unity.

Findings

Highlights the importance of roots of unity in lepton mixing classification

Emphasizes the mathematical role of vanishing sums of roots of unity

Provides a systematic overview of the classification approach

Abstract

The classification of lepton mixing matrices from finite residual symmetries is reviewed, with emphasis on the role of vanishing sums of roots of unity for the solution of this problem.