Research Grant
[Cite as https://purl.org/au-research/grants/arc/DP160101376]Researchers: Emeritus Professor Mark Gould (Chief Investigator) , Jorgen Rasmussen (Chief Investigator)
Brief description Indecomposable representation theory. The project aims to develop a systematic approach to the study and application of indecomposable representations in pure mathematics and mathematical physics. Indecomposability is a central concept in representation theory and is thus fundamental to a wide range of applications in science. 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.
Funding Amount $305,500
Funding Scheme Discovery Projects
- PURL : https://purl.org/au-research/grants/arc/DP160101376
- ARC : DP160101376