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20162026
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math.CO2026

Explicit characterization of -highest weight and -dominant tableaux for via --slack recording tableaux in the quantum LR 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 $…

math.CO2026

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…

math.CO2026

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…

math.CO2026

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…

math.CO2026

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 (or quantum LR rule of type AII), between semi-standard Youn…

math.CO2026

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…