On quotients of Coxeter groups under the weak order

DOI10.1016/S0196-8858(02)00540-7zbMath1025.20025MaRDI QIDQ1398308

Debra J. Waugh

Publication date: 29 July 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

affine Weyl groupslatticeshyperbolic Coxeter groupsforbidden configurationsnon-affine Coxeter groups

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (2)

On quotients of Coxeter groups under the weak order ⋮ Unnamed Item

Uses Software

• Maple

Cites Work

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• On quotients of Coxeter groups under the weak order
• On the fully commutative elements of Coxeter groups
• Upper bounds in affine Weyl groups under the weak order
• Bruhat lattices, plane partition generating functions, and minuscule representations
• Some combinatorial aspects of reduced words in finite Coxeter groups
• Generalized Quotients in Coxeter Groups

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