Gallery Posets of Supersolvable Arrangements
We introduce a poset structure on the reduced galleries in a supersolvable arrangement of hyperplanes. In particular, for Coxeter groups of type A or B, we construct a poset of reduced words for the longest element whose Hasse diagram is the graph of reduced words. Using Rambau's Suspension Lem...
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Format: | Article |
Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2014-01-01
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Series: | Discrete Mathematics & Theoretical Computer Science |
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Online Access: | https://dmtcs.episciences.org/2444/pdf |