4 papers
A field-independent filtration of plethystic modules for that categorifies a product rule for the Cartan subalgebra of
Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1
We lift a product rule in the Cartan subalgebra of quantum to a filtration of the plethystic representation of the affine group scheme…
Modular isomorphisms of -plethysms for Weyl modules labelled by hook partitions
Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1
Let be the Weyl functor for the partition and let be the natural -dimensional representation of , where is an arbitrary fie…
On the generalised Foulkes conjecture for under divisibility conditions
Moritz Gangl, Álvaro Gutiérrez, Michał Szwej
The generalised Foulkes conjecture for was recently proved under mild divisibility conditions by Raicu, Sam, Weyman, and Yang, who showed surjectivity o…
A new bijective proof of the -Pfaff--Saalschütz identity with applications to quantum groups
Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1
We present a combinatorial proof of the -Pfaff--Saalschütz identity by a composition of explicit bijections, in which -binomial coefficients are interpreted as counting subsp…