20 citations · 76 across the 33 of their papers we have counts for
39 papers
Skew symplectic and orthogonal characters through lattice paths
Seamus P. Albion, Ilse Fischer, Hans Höngesberg +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…
Bounded Littlewood identity related to alternating sign matrices
Ilse Fischer
An identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symm…
(-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 -enumeration of arrowed Gelfand-Tsetlin patte…
Alternating sign matrices with reflective symmetry and plane partitions: pairs of equivalent statistics and a Cauchy-type identity
Ilse Fischer, Hans Höngesberg
Vertically symmetric alternating sign matrices (VSASMs) of order are known to be equinumerous with lozenge tilings of a hexagon with side lengths , , , ,…
Alternating sign matrices and totally symmetric plane partitions
Florian Aigner, Ilse Fischer
We introduce a new family of Schur positive symmetric functions, which are defined as sums over totally symmetric plane partitions. In the first part, we show t…
The relation between alternating sign matrices and descending plane partitions: pairs of equivalent statistics
Florian Aigner, Ilse Fischer
There is the same number of alternating sign matrices (ASMs) as there is of descending plane partitions (DPPs) with parts no greater than , but finding an explicit…