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Effective algorithms for groups of lie type

Objetivo

The groups of Lie type are among the most important structures in modern mathematics. They also have many applications to physics. This project will construct algorithms for computing with elements and subgroups of these groups. We will concentrate on the following structural properties: automorphisms and twisted groups, conjugacy classes, and maximal subgroups. Our approach is designed to make the underlying Lie theory explicit, by using the Steinberg presentation as our starting point. We have already designed an effective correspondence between the Steinberg presentation and the more traditional matrix representations. The research content of the project will primarily be the creation of classification theorems for the structural properties that are suitable for computation, building on existing classifications. We will implement our algorithms in GAP and Magma so as to make them available to the wider scientific community . This work will complement the Chevie project, which has already made computational Lie theory one of the strengths of European mathematics.

Ámbito científico (EuroSciVoc)

Programa(s)

Tema(s)

Datos no disponibles

Convocatoria de propuestas

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Régimen de financiación

RGI - Research grants (individual fellowships)

Coordinador

EINDHOVEN UNIVERSITY OF TECHNOLOGY
Aportación de la UE
Sin datos
Dirección
2,Den Dolech 2
5600 MB EINDHOVEN
Países Bajos
Coste total
Sin datos