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Cacti, Toggles, and Reverse Plane Partitions

math.CO · 2024-12-03 · conditional · novelty 6.0

In type D, the cactus group action on the crystal B(nω1) is generated by length-one and length-two subdiagram elements and factors through the toggle group.

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  • Cacti, Toggles, and Reverse Plane Partitions math.CO · 2024-12-03 · conditional · none · ref 2

    In type D, the cactus group action on the crystal B(nω1) is generated by length-one and length-two subdiagram elements and factors through the toggle group.