Indecomposable representation theory (2016-2020)
Abstract
The Project aims to develop a systematic approach to the study and applications of indecomposable representations in pure mathematics and mathematical physics. Examples of important contexts considered are diagram algebras and finite and infinite-dimensional Lie algebras including the Virasoro algebra underlying conformal field theory. Linear algebra is a ubiquitous mathematical tool playing a pivotal role in representation theory, and the Project aims to resolve outstanding fundamental issues concerning families of so-called non-diagonalisable matrices. The anticipated outcomes are expected to advance the knowledge base of the mathematical sciences. Excellent training grounds for higher-degree research students will also be provided.
