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math.CO2025
A new bijective proof of the -Pfaff--Saalschütz identity with applications to quantum groups
Ãlvaro Gutiérrez, Ãlvaro L. MartÃnez, MichaÅ 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 subs…
math.CO2025
Two stability theorems on plethysms of Schur functions
Rowena Paget, Mark Wildon
The plethysm product of Schur functions corresponds to composing polynomial representations of infinite general linear groups. Finding the plethysm coefficients $\langle s_ν\circ…