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Vertices of simple modules for the symmetric and related finite groups

Ziel

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.

Aufforderung zur Vorschlagseinreichung

FP7-PEOPLE-2007-2-1-IEF
Andere Projekte für diesen Aufruf anzeigen

Koordinator

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Adresse
Wellington Square University Offices
OX1 2JD Oxford
United Kingdom
Aktivitätstyp
Higher or Secondary Education Establishments
EU-Beitrag
€ 160 658,97
Kontakt Verwaltung
Linda Polik (Ms.)