Ilse Fischer

collaborators

3 papers

math.CO2025

Alternating sign matrices with reflective symmetry and plane partitions: $n + 3$ pairs of equivalent statistics and a Cauchy-type identity

Ilse Fischer, Hans HÃ¶ngesberg

Vertically symmetric alternating sign matrices (VSASMs) of order $2 n + 1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2 n + 2$ , $2 n$ , $2 n + 2$ , $2 n$ ,…

math.CO2024

Skew symplectic and orthogonal characters through lattice paths

Seamus P. Albion, Ilse Fischer, Hans HÃ¶ngesberg +1

The skew Schur functions admit many determinantal expressions. Chief among them are the (dual) Jacobi-Trudi formula and the Lascoux-Pragacz formula, which is a skew analogue of the…

math.CO2024

(-1)-Enumerations of arrowed Gelfand-Tsetlin patterns

Ilse Fischer, Florian Schreier-Aigner

Arrowed Gelfand-Tsetlin patterns have recently been introduced to study alternating sign matrices. In this paper, we show that a $(- 1)$ -enumeration of arrowed Gelfand-Tsetlin patte…

Alternating sign matrices with reflective symmetry and plane partitions: n+3 pairs of equivalent statistics and a Cauchy-type identity

Skew symplectic and orthogonal characters through lattice paths

(-1)-Enumerations of arrowed Gelfand-Tsetlin patterns

Alternating sign matrices with reflective symmetry and plane partitions: $n + 3$ pairs of equivalent statistics and a Cauchy-type identity