Discovery Projects - Grant ID: DP0344185

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0344185

Funding Status
Closed

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Funded Activity Summary

Canonical bases for standard modules of affine Hecke algebras. Lie theory is the study of a class of mathematical structures which arise in many different fields of mathematics, and in areas of physics such as quantum field theory. One such structure, much studied in the last twenty years, is the affine Hecke algebra of an algebraic group. These have standard modules (defined geometrically) which currently lack convenient bases (roughly speaking, ways to write them algebraically). The main aim of this project is to prove that standard modules have canonical bases with certain special properties, as conjectured by G. Lusztig.

Funded Activity Details

Start Date: 01-01-2003

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $226,900.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Rings And Algebras | Pure Mathematics | Group Theory And Generalisations (Incl. Topological Groups And Lie | Category Theory, K Theory, Homological Algebra

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |

Other Keywords

Category Theory, K Theory, Homological Algebra | Group Theory And Generalisations (Incl. Topological Groups And Lie | Mathematical sciences | Pure Mathematics | Rings And Algebras

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