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Vertices of simple modules for the symmetric and related finite groups

Obiettivo

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.

Invito a presentare proposte

FP7-PEOPLE-2007-2-1-IEF
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Coordinatore

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Contributo UE
€ 160 658,97
Indirizzo
WELLINGTON SQUARE UNIVERSITY OFFICES
OX1 2JD Oxford
Regno Unito

Mostra sulla mappa

Regione
South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire
Tipo di attività
Higher or Secondary Education Establishments
Contatto amministrativo
Linda Polik (Ms.)
Collegamenti
Costo totale
Nessun dato