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math.CO2026
Molecules of an affine FPF -graph and a labelled row-Beissinger reconstruction
Yifeng Zhang
Kazhdan--Lusztig -graphs encode the cell structure of Hecke algebras, while their bidirected connected components are called molecules. In finite type~, the Robinson--Schenst…
math.CO2026
Dual Weight and Monodromy of Dual Affine RS Correspondence
Yifeng Zhang
The dual affine Robinson--Schensted correspondence and the affine matrix-ball construction give two related parametrizations of extended affine permutations. From the stable-window…
math.CO2026
Recursive structures of molecules and cells in Gelfand -graphs
Zhiqiang Dai, Yifeng Zhang
-graphs, representing the multiplication action of the standard basis on the canonical basis in the Iwahori-Hecke algebra are introduced by Kazhdan and Lusztig. Marberg defined…