Computing reflection length in an affine Coxeter group

DOI10.1090/TRAN/7472zbMath1478.20031OpenAlexW3104949781WikidataQ105476842 ScholiaQ105476842MaRDI QIDQ5894535

Joel Brewster Lewis, Jon McCammond, T. Kyle Petersen, Petra Hitzelberger

Publication date: 5 March 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/7472

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Related Items (12)

Shadows in the wild - folded galleries and their applications ⋮ Reflection length in the general linear and affine groups ⋮ Hopf monoids, permutohedral cones, and generalized retarded functions ⋮ Reflection factorizations and quasi-Coxeter elements ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations ⋮ Root cones and the resonance arrangement ⋮ An upper bound for reflection length in Coxeter groups ⋮ The Hurwitz action in complex reflection groups ⋮ Computing reflection length in an affine Coxeter group ⋮ First-order aspects of Coxeter groups ⋮ Reflection length with two parameters in the asymptotic representation theory of type B/C and applications

Cites Work

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• Circuits and Hurwitz action in finite root systems
• Bounding reflection length in an affine Coxeter group.
• The Steinberg torus of a Weyl group as a module over the Coxeter complex
• Affine Weyl groups as infinite permutations
• Reflection length in non-affine Coxeter groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Dimensions of Affine Deligne–Lusztig Varieties: A New Approach via Labeled Folded Alcove Walks and Root Operators
• Factoring Euclidean isometries
• Finite Unitary Reflection Groups

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