A root system criterion for fully commutative and short braid-avoiding elements in affine Weyl groups

DOI10.1023/A:1008717502373zbMath0952.20029OpenAlexW267679673MaRDI QIDQ1975181

Paola Cellini, Paolo Papi

Publication date: 17 October 2000

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

Full work available at URL: https://doi.org/10.1023/a:1008717502373

zbMATH Keywords

reduced expressionsaffine Weyl groupsCoxeter systemsroot systemsfully commutative elementssimple rootsshort braid-avoiding elements

Mathematics Subject Classification ID

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

Related Items (1)

Fully commutative elements and spherical nilpotent orbits

Cites Work

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• Infinite dimensional Lie algebras. An introduction
• Nilpotent orbits and commutative elements
• Schubert varieties and short braidedness
• On the fully commutative elements of Coxeter groups
• A Characterization of a Special Ordering in a Root System

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