35 citations · 57 across the 7 of their papers we have counts for
10 papers
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…
: A probabilistic Robinson--Schensted correspondence for Macdonald polynomials (extended abstract)
Florian Aigner, Gabriel Frieden
We present a probabilistic generalization of the Robinson--Schensted correspondence in which a permutation maps to several different pairs of standard Young tableaux with nonzero p…
: A probabilistic Robinson--Schensted correspondence for Macdonald polynomials
Florian Aigner, Gabriel Frieden
We present a probabilistic generalization of the Robinson--Schensted correspondence in which a permutation maps to several different pairs of standard Young tableaux with nonzero p…
Alternating sign matrices and totally symmetric plane partitions
Florian Aigner, Ilse Fischer, Matjaž Konvalinka +2
We study the Schur polynomial expansion of a family of symmetric polynomials related to the refined enumeration of alternating sign matrices with respect to their inversion number,…
A new determinant for the -enumeration of alternating sign matrices
Florian Aigner
Fischer provided a new type of binomial determinant for the number of alternating sign matrices involving the third root of unity. In this paper we prove that her formula, when rep…
Refined enumerations of alternating sign triangles
Florian Aigner
This article introduces and investigates a refinement of alternating sign trapezoids by means of Catalan objects and Motzkin paths. Alternating sign trapezoids are a generalisation…