Cel 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. Dziedzina nauki natural sciencesmathematicspure mathematicsalgebra Słowa kluczowe Natural sciences Specht module algebra complexity computational mathematics finite group of Lie type modular representation theory simple module source symmetric group vertex Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) PEOPLE-2007-2-1.IEF - Marie Curie Action: "Intra-European Fellowships for Career Development" Zaproszenie do składania wniosków FP7-PEOPLE-2007-2-1-IEF Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IEF - Intra-European Fellowships (IEF) Koordynator THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Wkład UE € 160 658,97 Adres WELLINGTON SQUARE UNIVERSITY OFFICES OX1 2JD Oxford Zjednoczone Królestwo Zobacz na mapie Region South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Linda Polik (Ms.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych
