1 citations · 1 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
Skew symplectic and orthogonal characters through lattice paths
Seamus P. Albion, Ilse Fischer, Hans Höngesberg +1
The skew Schur functions admit many determinantal expressions. Chief among them are the (dual) Jacobi-Trudi formula and the Lascoux-Pragacz formula, which is a skew analogue of the…
(-1)-Enumerations of arrowed Gelfand-Tsetlin patterns
Ilse Fischer, Florian Schreier-Aigner
Arrowed Gelfand-Tsetlin patterns have recently been introduced to study alternating sign matrices. In this paper, we show that a -enumeration of arrowed Gelfand-Tsetlin patte…
Fully complementary higher dimensional partitions
Florian Schreier-Aigner
We introduce a symmetry class for higher dimensional partitions - fully complementary higher dimensional partitions (FCPs) - and prove a formula for their generating function. By s…
Charmed roots and the Kroweras complement
Benjamin Dequêne, Gabriel Frieden, Alessandro Iraci +3
Although both noncrossing partitions and nonnesting partitions are uniformly enumerated for Weyl groups, the exact relationship between these two sets of combinatorial objects rema…