Bounding reflection length in an affine Coxeter group.

DOI10.1007/s10801-011-0289-1zbMath1229.20034arXiv1009.4918OpenAlexW2055525593MaRDI QIDQ644697

Jon McCammond, T. Kyle Petersen

Publication date: 7 November 2011

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4918

zbMATH Keywords

affine Coxeter groupsproducts of reflectionsreflection lengths

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (12)

THE CANCELLATION NORM AND THE GEOMETRY OF BI-INVARIANT WORD METRICS ⋮ Palindromic width of wreath products ⋮ An upper bound for reflection length in Coxeter groups ⋮ Affine extensions of non-crystallographic Coxeter groups induced by projection ⋮ Conjugacy growth and width of certain branch groups ⋮ Computing reflection length in an affine Coxeter group ⋮ A Clifford algebraic framework for Coxeter group theoretic computations. ⋮ On the Hurwitz action in affine Coxeter groups ⋮ Computing reflection length in an affine Coxeter group ⋮ First-order aspects of Coxeter groups ⋮ Dimensions of Affine Deligne–Lusztig Varieties: A New Approach via Labeled Folded Alcove Walks and Root Operators ⋮ Dual Euclidean Artin groups and the failure of the lattice property.

Cites Work

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• On minimal lengths of expressions of Coxeter group elements as products of reflections
• The dual braid monoid
• Noncrossing Partitions in Surprising Locations
• Invariants of Finite Reflection Groups

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