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math.CO2026

Cyclic Sieving for Staircase Plane Partitions via Crystals and Electrical Networks

Sam Hopkins, Jesse Kim, Stephan Pfannerer

The paper proves a cyclic sieving phenomenon for the promotion action on height‑two staircase plane partitions, using spin crystal representations and the bush basis of the electri…

math.CO2026

The recording tableaux in the quantum Littlewood-Richardson map, the orthogonal transpose symmetry map, and the computation of $k$ -highest weight tableaux

Olga Azenhas

The paper gives a combinatorial proof of the surjectivity of Watanabe’s quantum Littlewood‑Richardson map by using reverse Schensted insertion on recording tableaux and an explicit…

math.CO2026

Contractions and applications of crystal skeletons: Young quasisymmetric and Stanley symmetric functions

Sarah Brauner, Zajj Daugherty, Sarah Mason +1

The paper studies how crystal skeletons of slₙ‑crystals can be further decomposed into quasicrystal skeletons whose characters are Young quasisymmetric Schur functions, and shows h…

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Cyclic Sieving for Staircase Plane Partitions via Crystals and Electrical Networks

The recording tableaux in the quantum Littlewood-Richardson map, the orthogonal transpose symmetry map, and the computation of k-highest weight tableaux

Contractions and applications of crystal skeletons: Young quasisymmetric and Stanley symmetric functions

The recording tableaux in the quantum Littlewood-Richardson map, the orthogonal transpose symmetry map, and the computation of $k$ -highest weight tableaux