Lattices in Finite Real reflection Groups
Autor: | Brady, Thomas, Watt, Colum |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Articles |
DOI: | 10.21427/kzsd-1a33 |
Popis: | For a finite real reflection group $W$ with Coxeter element $\gamma$ we give a uniform proof that the closed interval, $[I, \gamma]$ forms a lattice in the partial order on $W$ induced by reflection length. The proof involves the construction of a simplicial complex which can be embedded in the type W simplicial generalised associahedron. Comment: 29 pages, 3 figures |
Databáze: | OpenAIRE |
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