Objective
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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
5600 MB EINDHOVEN
Netherlands
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.