Zobrazeno 1 - 10
of 356
pro vyhledávání: '"Fischer, Ilse"'
Autor:
Albion, Seamus, Eisenkölbl, Theresia, Fischer, Ilse, Gangl, Moritz, Höngesberg, Hans, Krattenthaler, Christian, Rubey, Martin
We exhibit, for any positive integer parameter $s$, an involution on the set of integer partitions of $n$. These involutions show the joint symmetry of the distributions of the following two statistics. The first counts the number of parts of a parti
Externí odkaz:
http://arxiv.org/abs/2407.16043
The enumeration of diagonally symmetric alternating sign matrices (DSASMs) is studied, and a Pfaffian formula is obtained for the number of DSASMs of any fixed size, where the entries for the Pfaffian are positive integers given by simple binomial co
Externí odkaz:
http://arxiv.org/abs/2309.08446
Publikováno v:
European Journal of Combinatorics 122 (2024), 104000
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 Giambelli identity. Comparatively, the skew characters of the symplec
Externí odkaz:
http://arxiv.org/abs/2305.11730
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 patterns can be expressed by a simple product formula. The numbers are a on
Externí odkaz:
http://arxiv.org/abs/2302.04164
Autor:
Fischer, Ilse
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 symmetric self-complementary plane partitions and that alternating sign tr
Externí odkaz:
http://arxiv.org/abs/2301.00175
Autor:
Fischer, Ilse, Höngesberg, Hans
Vertically symmetric alternating sign matrices (VSASMs) of order $2n+1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2n+2,2n,2n+2,2n,2n+2,2n$ and a central triangular hole of size $2$ that exhibit a cyclical as we
Externí odkaz:
http://arxiv.org/abs/2207.04469
Autor:
Aigner, Florian, Fischer, Ilse
We introduce a new family $\mathcal{A}_{n,k}$ of Schur positive symmetric functions, which are defined as sums over totally symmetric plane partitions. In the first part, we show that, for $k=1$, this family is equal to a multivariate generating func
Externí odkaz:
http://arxiv.org/abs/2201.13142
Publikováno v:
In European Journal of Combinatorics December 2024 122
Publikováno v:
In European Journal of Combinatorics August 2024 120
Autor:
Aigner, Florian, Fischer, Ilse
There is the same number of $n \times n$ alternating sign matrices (ASMs) as there is of descending plane partitions (DPPs) with parts no greater than $n$, but finding an explicit bijection is an open problem for about $40$ years now. So far, quadrup
Externí odkaz:
http://arxiv.org/abs/2106.11568