4 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…
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…
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…
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…