Discovery Projects - Grant ID: DP0986349

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0986349

Funding Status
Closed

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Funded Activity Summary

Pyramids and decomposition numbers for the symmetric and general linear groups. This project takes a novel approach to the decomposition number problem for the symmetric and general linear groups by setting up a new framework for computing them using the combinatorics of pyramids. The decomposition numbers of an algebra are an important statistic which gives detailed structural information about its representations. These numbers can be used to compute the dimensions of the irreducible representations of the algebra and they play an important role in the applications of representation theory to other fields such as knot theory and statistical mechanics.

Funded Activity Details

Start Date: 29-01-2009

End Date: 31-12-2016

Funding Scheme: Discovery Projects

Funding Amount: $428,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Rings And Algebras | Mathematical Logic, Set Theory, Lattices And Combinatorics | Pure Mathematics | Group Theory And Generalisations (Incl. Topological Groups And Lie

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |

Other Keywords

Group Theory And Generalisations (Incl. Topological Groups And Lie | Mathematical Logic, Set Theory, Lattices And Combinatorics | Mathematical sciences | Pure Mathematics | Rings And Algebras

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