8 citations · 20 across the 18 of their papers we have counts for
18 papers
Characterization of -highest weight and -dominant tableaux via --slack recording tableaux in the quantum Littlewood-Richardson rule and lattice points in flagged hive polytopes
Olga Azenhas
We have previously, for a given positive integer , explicitly characterized by certain linear inequalities the -highest weight tableaux of shape length or $2n…
The inverse reduction map of a symplectic column by decreasing the rank by one
Olga Azenhas
We have previously given a factorization of a symplectic column under the action of the parity involution which enabled to explicitly have written the inverse of the reduction map…
The inverse reduction map in the quantum Littlewood-Richardson bijection
Olga Azenhas
We decompose a symplectic column by detaching its maximal nonempty intervals that are fixed by the parity involution, this is the part of the symplectic column that is fixed by tha…
The slack data of the recording tableaux in the quantum Littlewood-Richardson map determines its inverse: some applications
Olga Azenhas
We introduce the slack of a recording tableau in the quantum Littlewood-Richardson (LR) map and show that it inherits the needed data from LR-Sundaram tableaux to define the invers…
The recording tableaux in the quantum Littlewood-Richardson map, the orthogonal transpose symmetry map, and the computation of -highest weight tableaux
Olga Azenhas
Recently Watanabe has given an algorithm to compute a bijection, that he calls (quantum) Littlewood-Richardson (LR) map of type AII, between semi-standard Young tableaux of shape a…
The symplectic left companion of a Littlewood-Richardson-Sundaram tableau and the Kwon property
Olga Azenhas
As a consequence of the Littlewood-Richardson (LR) commuters coincidence and the Kumar-Torres branching model via Kushwaha-Raghavan-Viswanath flagged hives, we have solved the Leco…
A uniform action of the dihedral group on Littlewood--Richardson coefficients
Olga Azenhas, Alessandro Conflitti, Ricardo Mamede
We show that the dihedral group of order twelve acts faithfully on the set LR, either consisting of Littlewood-Richardson tableaux, or their companion tableaux, or…
Keys and Evacuation via Virtualization
Olga Azenhas, Nicolle González, Daoji Huang +1
In this paper, we study the relation between the key map and virtualization of crystals. Namely, we prove that virtualization between crystals in any two finite Cartan types commut…
Non symmetric Cauchy kernel, crystals and last passage percolation
Olga Azenhas, Thomas Gobet, Cédric Lecouvey
We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the…
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…
Cocrystals of symplectic Kashiwara-Nakashima tableaux, symplectic Willis like direct way, virtual keys and applications
Olga Azenhas, João Miguel Santos
We attach a crystal, called cocrystal, to a symplectic Kashiwara-Nakashima (KN) tableau, whose vertices are skew KN tableaux connected via the Lecouvey-Sheats sym…
A classification of monotone ribbons with full Schur support with application to the classification of full equivalence classes
Olga Azenhas, Ricardo Mamede
We consider ribbon shapes, not necessarily connected, whose rows, with at least two boxes in each, are in monotone length order. These ribbons are uniquely defined by a pair of par…
Skew RSK and the switching on ballot tableau pairs
Olga Azenhas
In arXiv:1808.06095 we have introduced the Knuth class of the word recording a sequence of locations for repeated internal insertion operations in the Sagan-Stanley skew RSK corres…
The involutive nature of the Littlewood-Richardson commutativity bijection
O. Azenhas, R. C. King, I. Terada
Littlewood-Richardson (LR) coefficients may be evaluated by means of several combinatorial models, including the original LR tableaux of skew shape and weight …
NW-SE expansions of non-symmetric Cauchy kernels on near staircases and growth diagrams
Olga Azenhas, Aram Emami
Lascoux has given a triangular version of the Cauchy identity where Schur polynomials are replaced by Demazure characters and Demazure atoms. He has then used the staircase expansi…
An analogue of the Robinson-Schensted-Knuth correspondence and non-symmetric Cauchy kernels for truncated staircases
Olga Azenhas, Aram Emami
We prove a restriction of an analogue of the Robinson--Schensted--Knuth correspondence for semi-skyline augmented fillings, due to Mason, to multisets of cells of a staircase possi…
Multiplicity-free Skew Schur functions with full interval support
Olga Azenhas, Alessandro Conflitti, Ricardo Mamede
It is known that the Schur expansion of a skew Schur function runs over the interval of partitions, equipped with dominance order, defined by the least and the most dominant Little…
Linear time equivalence of Littlewood--Richardson coefficient symmetry maps
Olga Azenhas, Alessandro Conflitti, Ricardo Mamede
Benkart, Sottile, and Stroomer have completely characterized by Knuth and dual Knuth equivalence a bijective proof of the conjugation symmetry of the Littlewood-Richardson coeffici…