12 citations · 19 across the 8 of their papers we have counts for
11 papers
Atoms and charge in type
Leonardo Patimo, Jacinta Torres
We construct atomic decompositions for crystals of type and define a charge statistic on them, thus providing positive combinatorial formulas for Kostka-Foulkes polynomials…
The virtual cactus group and Littelmann paths
Jacinta Torres
We define a virtual cactus group and show that the cactus group action on Littelmann paths is compatible with the virtualization map defined by Pan-Scrimshaw \cite{PS18}. Our defin…
Symplectic cacti, virtualization and Berenstein-Kirillov groups
Olga Azenhas, Mojdeh Tarighat Feller, Jacinta Torres
We explicitly realize an internal action of the symplectic cactus group, recently defined by Halacheva for any complex, reductive, finite-dimensional Lie algebra, on crystals of Ka…
Minuscule Schubert Varieties of Exceptional Type
Sara Angela Filippini, Jacinta Torres, Jerzy Weyman
We study exceptional minuscule Schubert varieties and provide the defining equations of the defining ideals of their intersection with the big open cell. We also provide the resolu…
A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows
Maciej Dołęga, Thomas Gerber, Jacinta Torres
We prove a conjecture of Lecouvey, which proposes a closed, positive combinatorial formula for symplectic Kostka-Foulkes polynomials, in the case of rows of arbitrary weight. To sh…
On Sundaram's full bijection
Jacinta Torres
We highlight refinement of a bijection given by Sheila Sundaram in her PhD thesis. The framework allows for comparison to a late conjecture of Naito-Sagaki. We give an injection of…
Decoupled molecules with binding polynomials of bidegree (n,2)
Yue Ren, Johannes W. R. Martini, Jacinta Torres
We present a result on the number of decoupled molecules for systems binding two different types of ligands. In the case of and binding sites respectively, we show that, ge…
A non-Levi branching rule in terms of Littelmann paths
Bea Schumann, Jacinta Torres
We prove a conjecture of Naito-Sagaki about a branching rule for the restriction of irreducible representations of to .…
On a conjecture by Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux
Jacinta Torres
We prove a special case of a conjecture of Naito-Sagaki about a branching rule for the restriction of irreducible representations of to $\mathfrak{sp…
The symplectic plactic monoid, crystals, and MV cycles
Jacinta Torres
We study cells in generalised Bott-Samelson varieties for type C. These cells are parametrised by certain galleries in the affine building. We define a set of readable galleries -…
Word reading is a crystal morphism
Jacinta Torres
We observe that word reading is a crystal morphism. This leads us to prove that, in the case of the complex special linear group, the map from all galleries to MV cycles is a morph…