7 papers
Composition factors of 2-parts spin representations of symmetric groups
Lucia Morotti
Given an odd prime , we identify composition factors of the reduction modulo of spin irreducible representations of the covering groups of symmetric groups indexed by partit…
Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems
Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep
We study irreducible restrictions from modules over alternating groups to subgroups. We get reduction results which substantially restrict the classes of subgroups and modules for…
Irreducible restrictions of representations of symmetric and alternating groups in small characteristics
Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep
Building on reduction theorems and dimension bounds for symmetric groups obtained in our earlier work, we classify the irreducible restrictions of representations of the symmetric…
Lower bounds for dimensions of irreducible representations of symmetric groups
Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep
We give new, explicit and asymptotically sharp, lower bounds for dimensions of irreducible modular representations of finite symmetric groups.
On divisibility by primes in columns of character tables of symmetric groups
Lucia Morotti
For an arbitrary prime we prove that the proportion of entries divisible by in certain columns of the character table of the symmetric group tends to 1 as $n\to\infty…
Irreducible tensor products for alternating groups in characteristics 2 and 3
Lucia Morotti
In this paper we study irreducible tensor products of representations of alternating groups in characteristics 2 and 3. In characteristic 3 we completely classify irreducible tenso…