Block numbers of permutations and Schur-positivity

zbMath1385.05001MaRDI QIDQ1745163

Yuval Roichman, Eli Bagno, Ron M. Adin

Publication date: 20 April 2018

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2017/64%20Bagno%20Adin%20Roichman.html

zbMATH Keywords

permutation statisticspattern avoidancequasi-symmetric functionSchur positivity

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Classical problems, Schubert calculus (14N15)

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Cites Work

• Matrices, characters and descents
• Schur-positive sets of permutations via products and grid classes
• Counting permutations with given cycle structure and descent set
• Ideals of quasi-symmetric functions and super-covariant polynomials for \(\mathcal S_n\)
• Block decomposition of permutations and Schur-positivity
• Pattern avoidance and quasisymmetric functions
• Simple permutations and pattern restricted permutations
• Combinatorial Interpretations of Convolutions of the Catalan Numbers
• Subclasses of the separable permutations
• The Location of the First Ascent in a 123-Avoiding Permutation
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