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math.CO2024
Cacti, Toggles, and Reverse Plane Partitions
Devin Brown, Balazs Elek, Iva Halacheva
The cactus group acts combinatorially on crystals via partial Schützenberger involutions. This action has been studied extensively in type and described via Bender-Knuth involu…
math.CO2020
Promotion and Cyclic Sieving on Rectangular -Semistandard Tableaux
Tair Akhmejanov, Balázs Elek
Let be a string of letters and . We define a Young tableau to be -semistandard if the entries are weakly increasing along rows and columns, and the e…