Discovery Projects - Grant ID: DP160101376

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP160101376

Funding Status
Closed

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Funded Activity Summary

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.

Funded Activity Details

Start Date: 01-01-2016

End Date: 31-12-2020

Funding Scheme: Discovery Projects

Funding Amount: $305,500.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Algebraic Structures in Mathematical Physics | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Mathematical Physics | Pure Mathematics not elsewhere classified

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebraic Structures in Mathematical Physics | Expanding Knowledge in the Mathematical Sciences | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Mathematical Physics | Pure Mathematics not elsewhere classified

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