\(T\)-increasing paths on the Bruhat graph of affine Weyl groups are self-avoiding

DOI10.1006/jabr.1999.8276zbMath0962.20030OpenAlexW1982686924MaRDI QIDQ1570868

Paola Cellini

Publication date: 19 March 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8276

zbMATH Keywords

rootsaffine Weyl groupsCoxeter systemsBruhat graphstotal reflection orders

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (3)

Proof of Cellini’s conjecture on self-avoiding paths in Coxeter groups ⋮ Quasisymmetric functions and Kazhdan-Lusztig polynomials. ⋮ Lattice paths, lexicographic correspondence and Kazhdan-Lusztig polynomials.

Cites Work

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• The structure of total reflection orders in affine root systems
• A Characterization of a Special Ordering in a Root System
• Combinatorial Expansions of Kazhdan-Lusztig Polynomials
• Lattice paths and Kazhdan-Lusztig polynomials

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