3 papers
math.CO2026
Determinantal formulae for a symmetric generating function of totally symmetric plane partitions
Julia Hörmayer, Florian Schreier-Aigner
Ilse Fischer and the second author introduced in [Algebr. Comb. 7 (2024), no. 5, 1319-1345] a two parameter family of polynomials defined as sums over totally symmetric plane parti…
math.CO2024
Growth diagram proofs for the Littlewood identities
Florian Schreier-Aigner
The (dual) Cauchy identity has an easy algebraic proof utilising a commutation relation between the up and (dual) down operators. By using Fomin's growth diagrams, a bijective proo…
math.CO2024
RSK: A probabilistic dual RSK correspondence for Macdonald polynomials
Gabriel Frieden, Florian Schreier-Aigner
We introduce a probabilistic generalization of the dual Robinson--Schensted--Knuth correspondence, called RSK, depending on two parameters and . This correspondenc…