Cacti and cells
classification
🧮 math.RT
math.CO
keywords
actioncellsgroupwall-crossingbijectionscacticactuscategory
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The goal of this paper is to construct an action of the cactus group of a Weyl group W on W that is nicely compatible with Kazhdan-Lusztig cells. The action is realized by the wall-crossing bijections that are combinatorial shadows of wall-crossing functors on the category O.
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