24 citations · 40 across the 21 of their papers we have counts for
30 papers · 1 filter
On self-extensions of irreducible modules over symmetric groups
Haralampos Geranios, Alexander Kleshchev, Lucia Morotti
A conjecture going back to the eighties claims that there are no non-trivial self-extensions of irreducible modules over symmetric groups if the characteristic of the ground field…
Some extension algebras for standard modules over KLR algebras of type
Doeke Buursma, Alexander Kleshchev, David J. Steinberg
Khovanov-Lauda-Rouquier algebras of finite Lie type are affine quasihereditary with standard modules labeled by Kostant partitions of . Let be the direct sum of…
Resolutions of standard modules over KLR algebras of type
Doeke Buursma, Alexander Kleshchev, David J. Steinberg
Khovanov-Lauda-Rouquier algebras of finite Lie type are affine quasihereditary with standard modules labeled by Kostant partitions of . In type , we construc…
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.