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20142026
most citedExplicit universal sampling sets in finite vector spaces

13 citations · 34 across the 24 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

math.RT2023

Generalised row and column removal results for decomposition numbers of spin representations of symmetric groups in characteristic 2

Lucia Morotti

We prove generalised row and column removal results for decomposition numbers of spin representations of symmetric groups in characteristic 2, similar to Donkin's results for decom…

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.GR2023★ 2 cited

Common zeros of irreducible characters

Nguyen N. Hung, Alexander Moretó, Lucia Morotti

We study the zero-sharing behavior among irreducible characters of a finite group. For symmetric groups , it is proved that, with one exception, any two irreducible characters…

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,…

math.RT2023

Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2

Lucia Morotti

We give explicit formulas to compute most of the decomposition numbers of reductions modulo 2 of irreducible spin representations of symmetric groups indexed by partitions with at…