ARC Future Fellowships - Grant ID: FT180100099

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT180100099

Funding Status
Active

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Funded Activity Summary

Representation theory in exactly solvable systems. This project aims to develop the representation theory of Lie and generalised Lie algebras related to exactly solvable models. The project will exploit several innovative ideas on the structure of quadratic algebras, Casimir invariants, differential operator realisations, roots systems, characters and indecomposable representations. This will give fundamental mathematical insight and allow the construction of new, exactly solvable models. This will have an impact on theoretical physics as exactly solvable models play a central role in our understanding of a plethora of physical phenomena.

Funded Activity Details

Start Date: 05-01-2019

End Date: 31-12-2024

Funding Scheme: ARC Future Fellowships

Funding Amount: $728,125.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Integrable Systems (Classical and Quantum) | Group Theory and Generalisations | Algebraic Structures in Mathematical Physics | Mathematical Physics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences

Other Keywords

Algebraic Structures in Mathematical Physics | Expanding Knowledge in the Mathematical Sciences | Group Theory and Generalisations | Integrable Systems (Classical and Quantum) | Mathematical Physics

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