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Computing reflection length in an affine Coxeter group

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Publication:5925193
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zbMath1477.20074arXiv1710.06920MaRDI QIDQ5925193

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

Publication date: 15 May 2019

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06920


zbMATH Keywords

Coxeter groupsaffine reflection groupsreflection length


Mathematics Subject Classification ID

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




Cites Work

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  • Circuits and Hurwitz action in finite root systems
  • Bounding reflection length in an affine Coxeter group.
  • Reflection length in non-affine Coxeter 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
  • Computing reflection length in an affine Coxeter group


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