Corrigendum to "Modular Gelfand pairs and multiplicity-free representations"

TL;DR

This paper corrects and refines previous results on modular Gelfand pairs and multiplicity-free representations by providing counterexamples and partial corrections to overly broad claims.

Contribution

It offers necessary corrections and clarifications to prior work on multiplicity-freeness in modular Gelfand pairs, improving the accuracy of the theory.

Findings

Counterexamples to previous broad claims

Partial corrections to existing theorems

Refined understanding of multiplicity-freeness conditions

Abstract

Some of the multiplicity-freeness results in ``Modular Gelfand pairs and multiplicity-free representations'' are stated in overly broad generality. We provide counterexamples and partial corrections.