Combinatorial Representation Theory

TL;DR

This paper surveys the field of combinatorial representation theory, highlighting key results, questions, and current developments while providing a personal perspective on its progress and open problems.

Contribution

It offers a comprehensive overview of combinatorial representation theory, summarizing main results, questions, and recent updates in the field.

Findings

Summarizes key results and open questions in the field.

Provides an update on the current status of combinatorial representation theory.

Shares a personal viewpoint on the significance and future directions of the field.

Abstract

We attempt to survey the field of combinatorial representation theory, describe the main results and main questions and give an update of its current status. We give a personal viewpoint on the field, while remaining aware that there is much important and beautiful work that we have not been able to mention.