9 papers
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…
A Mixed Robinson--Schensted--Knuth Construction in the Representation Theory of over Local non-Archimedean Fields
Ilse Fischer, Markus Reibnegger
We present a simple combinatorial method for computing the socle of representations of , where is a local non-Archimedean field, parabolically induced from tw…
A new antisymmetrizer-to-determinant formula and a conjecture of Colomo and Pronko
Ilse Fischer, Markus Reibnegger
Identities asserting that an antisymmetrizer admits a determinantal expression are central to several proofs of counting formulas for alternating sign matrices. Antisymmetrizers ap…
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…
A Littlewood-type identity for Robbins polynomials
Ilse Fischer, 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…