Discovery Early Career Researcher Award - Grant ID: DE170100623

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE170100623

Funding Status
Closed

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Funded Activity Summary

Quasi-hereditary categories in Lie theory. This project aims to use diagram algebras and categorical representation theory to study fundamental open problems in the representation theory of Lie algebras and their generalisations. The concept of symmetry is omnipresent in science and culture. Its mathematical study leads to the notion of groups, algebras and their representation theory. Representation theory is applicable in many active research areas, including subatomic particle physics and quantum computing. Solutions to these problems could lead to better understanding of several categories of representations of Lie algebras, and create new research tools.

Funded Activity Details

Start Date: 30-06-2017

End Date: 29-06-2021

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $360,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category Theory, K Theory, Homological Algebra | Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Category Theory, K Theory, Homological Algebra | Expanding Knowledge in the Mathematical Sciences | Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics

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