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Cacti and cells

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.

4 nodes3 linksoverview mapCacti and cells
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Cacti and cells4 visible / 4 total nodes / 3 links
AuthorshipTopic signalTopic signalWCacti and cellspreprint / 2015AIvan LosevResearcherTmath.CO8936 worksTmath.RT2974 works
PaperSignal 103 links

Cacti and cells

preprint / 2015

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