5 papers
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 ve…
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…
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…
A Littlewood-type identity for Robbins polynomials
Ilse Fischer, Hans Höngesberg, Hans Höngesberg
We provide a generalization of the Littlewood identity, both sides of which are related to alternating sign matrices. The classical Littlewood identity establishes a nice product f…
The number of monotone trapezoids with prescribed bottom row
Ilse Fischer, Hans Höngesberg
We establish an operator formula for the number of monotone trapezoids with prescribed bottom row, generalizing alternating sign matrices. The special case of the formula for monot…