7 papers · 1 filter
Character expansions and affine Jacobi-Trudi identities
Ilse Fischer, Moritz Gangl, Álvaro Gutiérrez +1
We provide character expansions of certain specialisations of multiparameter Hall--Littlewood polynomials of types , , and for rectangul…
Two Littlewood identities for fully inhomogeneous spin Hall-Littlewood symmetric rational functions
Ilse Fischer, Moritz Gangl
Fully inhomogeneous spin Hall-Littlewood symmetric rational functions arise as partition functions of certain path configurations in the higher spin six ver…
More minor summation formulae
Shane Chern, Theresia Eisenkölbl, Ilse Fischer +8
We prove determinantal-Pfaffian formulae that simultaneously generalise the Pfaffian minor summation formula of Ishikawa and Wakayama and Byun's recent minor summation formula. The…
On the generalised Foulkes conjecture for under divisibility conditions
Moritz Gangl, Álvaro Gutiérrez, Michał Szwej
The generalised Foulkes conjecture for was recently proved under mild divisibility conditions by Raicu, Sam, Weyman, and Yang, who showed surjectivity o…
Unexpectedly, a symmetry on unlabeled graphs
Florian Fürnsinn, Moritz Gangl, Martin Rubey
We exhibit the joint symmetric distribution of the following two parameters on the set of unlabeled, simple, connected graphs with vertices. The first parameter is the maximal…
A generalization of conjugation of integer partitions
Seamus Albion, Theresia Eisenkölbl, Ilse Fischer +4
We exhibit, for any positive integer parameter , an involution on the set of integer partitions of . These involutions show the joint symmetry of the distributions of the fol…
Alternating Sign Pentagons and Magog Pentagons
Moritz Gangl
Alternating sign triangles have been introduced by Ayyer, Behrend and Fischer in 2016 and it was proven that there is the same number of alternating sign triangles with rows as…