3 papers
math.CO2026
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…
math.CO2026
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…
math.CO2026
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…