3 papers
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…
math.CO2025
Murnaghan--Nakayama rules for symplectic, orthogonal and orthosymplectic Schur functions
Nishu Kumari, Anna Stokke
We establish new Murnaghan--Nakayama rules for symplectic, orthogonal and orthosymplectic Schur functions. The classical Murnaghan--Nakayama rule expresses the product of a power s…
math.CO2024
A determinantal formula for orthosymplectic Schur functions
Nishu Kumari
We prove a new determinantal formula for the characters of irreducible representations of orthosymplectic Lie superalgebras analogous to the formula developed by Moens and Jeugt (J…