Michal Szwej

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math.CO2025

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

Moritz Gangl, Álvaro Gutiérrez, Michał 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.CO2025

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

Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1

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

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

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

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

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