The algebra of quasi-symmetric functions is free over the integers
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Publication:5957473
DOI10.1006/aima.2001.2017zbMath0991.05102OpenAlexW2063677908WikidataQ56595168 ScholiaQ56595168MaRDI QIDQ5957473
Publication date: 28 August 2002
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://ir.cwi.nl/pub/2071
symmetric groupsymmetric functionsHecke algebraSolomon descent algebracoalgebra structureDitters conjecturegraded dualLeibniz-Hopf algebraLie-Hopf algebraLyndon wordsquasi-symmetric functionshuffle algebra
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Cites Work
- On the number of reduced decompositions of elements of Coxeter groups
- Counting permutations with given cycle structure and descent set
- Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\)
- Noncommutative symmetric functions
- Duality between quasi-symmetric functions and the Solomon descent algebra
- Free polynomial generators for the Hopf algebra \(QSym\) of quasisymmetric functions
- Curves and formal (\(co\)) groups
- Quantum quasi-symmetric functions and Hecke algebras
- Free differential calculus. IV: The quotient groups of the lower central series
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