Proof of Cellini’s conjecture on self-avoiding paths in Coxeter groups

DOI10.1112/S0010437X11007032zbMath1241.20044WikidataQ122954883 ScholiaQ122954883MaRDI QIDQ5390080

Matthew J. Dyer

Publication date: 27 April 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

Hecke algebrasCoxeter groupsCoxeter systemsroot systemsBruhat orderreflection orders

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (4)

On the complete \(\mathbf{cd}\)-index of a Bruhat interval. ⋮ The complete \(\mathbf{cd}\)-index of Boolean lattices ⋮ Flip posets of Bruhat intervals ⋮ On the non-negativity of the complete \(cd\)-index

Cites Work

• Reflection subgroups of Coxeter systems
• Quotients of twisted Bruhat orders
• \(T\)-increasing paths on the Bruhat graph of affine Weyl groups are self-avoiding
• Lattice paths, lexicographic correspondence and Kazhdan-Lusztig polynomials.

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