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Content archived on 2024-06-18

Vertices of simple modules for the symmetric and related finite groups

Objective

This project aims to study representations of symmetric groups, alternating groups and other related finite groups, over non-zero characteristic. These representations are far from being semisimple, and many basic problems, like finding the irreducible representations - that is simple modules - are not solved in general. Therefore one needs to find and understand invariants of modules. We will focus on the distiguished classes of Specht modules and simple modules and will investigate vertices, sources, and complexity. These encapsulate local and group theoretic features on the one hand, and large-scale homological behaviour on the other hand. Spectacular new developments from Lie theory have opened up completely new perspectives, and we will combine the classical approach of G.D. James, the new methods originating in Kac-Moody algebras and quantum groups, and work by Kleshchev , Lascoux/Leclerc/Thibon, Ariki, Grojnowski, and Chuang/Rouquier.

Fields of science (EuroSciVoc)

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Keywords

Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)

Topic(s)

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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FP7-PEOPLE-2007-2-1-IEF
See other projects for this call

Funding Scheme

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.

MC-IEF - Intra-European Fellowships (IEF)

Coordinator

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
EU contribution
€ 160 658,97
Address
WELLINGTON SQUARE UNIVERSITY OFFICES
OX1 2JD Oxford
United Kingdom

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Region
South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

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