Michal Szwej

collaborators

4 papers

math.RT2026

A field-independent filtration of plethystic modules for $SL_{2} (F)$ that categorifies a product rule for the Cartan subalgebra of $U_{q} (sl_{2})$

Ãlvaro GutiÃ©rrez, Ãlvaro L. MartÃnez, MichaÅ Szwej +1

We lift a product rule in the Cartan subalgebra of quantum $sl_{2}$ to a filtration of the plethystic representation $I^^{(n, m)} Sym^{d} E$ of the affine group schem…

math.CO2026

On the generalised Foulkes conjecture for $SL_{2} (C)$ under divisibility conditions

Moritz Gangl, Ãlvaro GutiÃ©rrez, MichaÅ Szwej

The generalised Foulkes conjecture for $SL_{2} (C)$ was recently proved under mild divisibility conditions by Raicu, Sam, Weyman, and Yang, who showed surjectivity o…

math.RT2026

Modular isomorphisms of $SL_{2} (F)$ -plethysms for Weyl modules labelled by hook partitions

Let $I^^{I^} »$ be the Weyl functor for the partition $I^»$ and let $E$ be the natural $2$ -dimensional representation of $SL_{2} (F)$ , where $F$ is an arbitrary…

math.CO2025

A new bijective proof of the $q$ -Pfaff--SaalschÃ¼tz identity with applications to quantum groups

We present a combinatorial proof of the $q$ -Pfaff--SaalschÃ¼tz identity by a composition of explicit bijections, in which $q$ -binomial coefficients are interpreted as counting subs…

A field-independent filtration of plethystic modules for SL2​(F) that categorifies a product rule for the Cartan subalgebra of Uq​(sl2​)

On the generalised Foulkes conjecture for SL2​(C) under divisibility conditions

Modular isomorphisms of SL2​(F)-plethysms for Weyl modules labelled by hook partitions

A new bijective proof of the q-Pfaff--SaalschÃ¼tz identity with applications to quantum groups

A field-independent filtration of plethystic modules for $SL_{2} (F)$ that categorifies a product rule for the Cartan subalgebra of $U_{q} (sl_{2})$

On the generalised Foulkes conjecture for $SL_{2} (C)$ under divisibility conditions

Modular isomorphisms of $SL_{2} (F)$ -plethysms for Weyl modules labelled by hook partitions

A new bijective proof of the $q$ -Pfaff--SaalschÃ¼tz identity with applications to quantum groups