Discovery Projects - Grant ID: DP0772368

Funding Activity

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Funded Activity Summary

Constructive Representation Theory and its Applications. The algorithms developed will make it possible to determine the different ways (representations) in which a group of symmetries may be  realised as transformations of some space. Such knowledge is required in many areas including differential equations, digital signal processing, engineering ('strut-and-cable' constructions), the design of telephone networks, crystallography and quantum information processing. The high-performance tools for linear algebra developed will also find application in cryptography and coding theory. This work represents the latest stage in a long-term project to discover practical algorithms for elucidating the properties of complex algebraic structures - an area where Australia is a world-leader.

Funded Activity Details

Start Date: 17-01-2007

End Date: 16-01-2010

Funding Scheme: Discovery Projects

Funding Amount: $321,000.00

Funder: Australian Research Council