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math.RT2025
Irreducible restrictions of spin representations of symmetric and alternating groups
Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep
Let be an algebraically closed field and be an almost quasi-simple group. An important problem in representation theory is to classify the subgroups and $\ma…
math.RT2025
On self-extensions of irreducible modules over symmetric groups, II
Lucia Morotti
It is conjectured that irreducible representations of symmetric groups have no non-trivial self-extension over fields of odd characteristic. We improve on partial results showing e…
math.RT2024
Representations of symmetric and alternating groups and their double covers that remain irreducible modulo every prime
Matthew Fayers, Lucia Morotti
We classify globally irreducible representations of alternating groups and double covers of symmetric and alternating groups. In order to achieve this classification we also comple…