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Irreducible restrictions of representations of symmetric and alternating groups

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GRA - Groups, representations and applications: new perspectives

In general the restriction of an irreducible respresentation to a subgroup is not irreducible. There are though cases where the restriction is irreducible. In this talk I will present a classification of irreducible restrictions of representations of symmetric and alternating groups, in particular about recent work joint with Alexander Kleshchev and Pham Huu Tiep, which, up to one new family of irreducible restrictions, extends to characteristics 2 and 3 the classification in larger characteristic, up to considering also irreducible restrictions of spin representations when working in characteristic 2.




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