Discovery Projects - Grant ID: DP150104507

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP150104507

Funding Status
Active

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Funded Activity Summary

Symmetry via braiding, diagrammatics and cellularity. Symmetry is a basic organising tool for humans to understand their environment. Invariants are the mathematical embodiment of symmetry, and their study is as ancient as thought itself. This project aims to use the tools of braided tensor categories and cellular structure, to analyse the invariants occurring in several fundamental areas of mathematics, particularly relating to physics. The endomorphism algebras in certain tensor categories, particularly those for quantised superalgebras, will be realised as diagram algebras, and analysed using cellular theory. The intended output include criteria for semisimplicity, a new theory of diagram algebras, and decomposition theory which are expected to permit the determination of multiplicities of composition factors.

Funded Activity Details

Start Date: 01-07-2015

End Date: 30-04-2022

Funding Scheme: Discovery Projects

Funding Amount: $644,700.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie Groups, Harmonic and Fourier Analysis | Algebraic Structures in Mathematical Physics | Pure Mathematics | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Algebraic Structures in Mathematical Physics | Expanding Knowledge in the Mathematical Sciences | Expanding Knowledge in the Physical Sciences | Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics

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