On the Weak Order of Coxeter Groups
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Publication:4632763
DOI10.4153/CJM-2017-059-0MaRDI QIDQ4632763
Publication date: 30 April 2019
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.5557
Reflection and Coxeter groups (group-theoretic aspects) (20F55) Complete lattices, completions (06B23) Root systems (17B22)
Related Items (20)
On inversion sets and the weak order in Coxeter groups ⋮ Affine twisted length function ⋮ Imaginary cones and limit roots of infinite Coxeter groups ⋮ Lattice homomorphisms between weak orders ⋮ Biclosed sets in affine root systems ⋮ Local finiteness of the twisted Bruhat orders on affine Weyl groups ⋮ Lattice structure of grid-Tamari orders ⋮ On conjugacy of abstract root bases of root systems of Coxeter groups ⋮ Tamari lattices for parabolic quotients of the symmetric group ⋮ Twisted weak orders of Coxeter groups ⋮ The maximum cardinality of minimal inversion complete sets in finite reflection groups ⋮ Oriented matroid structures from realized root systems ⋮ Imaginary cone and reflection subgroups of Coxeter groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The CDE property for skew vexillary permutations ⋮ Infinite reduced words, lattice property and braid graph of affine Weyl groups ⋮ Reduced expression of minimal infinite reduced words of affine Weyl groups ⋮ Cone types, automata, and regular partitions in Coxeter groups ⋮ Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras
Cites Work
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