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math.RT2023
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…
math.RT2023★ 4 cited
Decomposition numbers for abelian defect RoCK blocks of double covers of symmetric groups
Matthew Fayers, Alexander Kleshchev, Lucia Morotti
We calculate the (super)decomposition matrix for a RoCK block of a double cover of the symmetric group with abelian defect, verifying a conjecture of the first author. To do this,…