Lattices in Finite Real reflection Groups

Autor: Brady, Thomas, Watt, Colum
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