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Irreducible restrictions of representations of symmetric and alternating groups

Presented by: 
Lucia Morotti
Tuesday 21st January 2020 - 11:00 to 12:00
INI Seminar Room 2
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons