B'arbara Muniz

collaborators

3 papers

math.AC2026

Structure and geometry of the tableaux algebra

Spencer Daugherty, Nicolle GonzÃ¡lez, BÃ¡rbara Muniz +3

We study the monoid algebra $_{n} T_{m}$ of semistandard Young tableaux, which coincides with the Gelfand--Tsetlin semigroup ring $G T_{n}$ when $m = n$ . Among…

math.RT2025

Atomic decomposition for an affine Weyl group of type $G_{2}$

BÃ¡rbara Muniz, David Plaza, Claudia Rojas-andÃas

We show that the elements of the Kazhdan--Lusztig basis of the spherical Hecke algebra of type $G_{2}$ have an atomic decomposition. As a by-product, we obtain a new algorithm to com…

math.RT2025

Symplectic Branching through Crystals

BÃ¡rbara Muniz

We give an alternative proof of Naito--Sagaki's conjecture, which states that the restriction of $g l_{2 n} (C)$ -representations to $s p_{2 n} (C)$ can be described in…

Structure and geometry of the tableaux algebra

Atomic decomposition for an affine Weyl group of type G2​

Symplectic Branching through Crystals

Atomic decomposition for an affine Weyl group of type $G_{2}$