The complete \(\mathbf{cd}\)-index of Boolean lattices

zbMath1327.05031MaRDI QIDQ491537

Neil J. Y. Fan, Liao He

Publication date: 26 August 2015

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i2p45

zbMATH Keywords

Boolean lattice\(\mathbf{cd}\)-indexBruhat graphcomplete \(\mathbf{cd}\)-index

Mathematics Subject Classification ID

Related Items (3)

\(M\)-vector analogue for the \(\mathbf{cd}\)-index ⋮ Balanced and Bruhat graphs ⋮ The 𝑐𝑑-index: A survey

Cites Work

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• On the complete \(\mathbf{cd}\)-index of a Bruhat interval.
• Deux propriétés des arbres binaires ordonnés stricts. (Two properties of strictly ordered binary trees)
• The doubloon polynomial triangle
• Representations of Coxeter groups and Hecke algebras
• The homology representations of the symmetric group on Cohen-Macaulay subposets of the partition lattice
• The homology of partitions with an even number of blocks
• Quasisymmetric functions and Kazhdan-Lusztig polynomials.
• On the \(cd\)-variation polynomials of André and Simsun permutations
• On the non-negativity of the complete \(cd\)-index
• Combinatorics of Coxeter Groups
• Andre Permutations, Lexicographic Shellability and the cd-Index of a Convex Polytope
• Proof of Cellini’s conjecture on self-avoiding paths in Coxeter groups

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