The Algebra of Quasi-Symmetric Functions Is Free over the Integers

By M. Hazewinkel. 2001

83 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/85a3d3a99dac0f7f9d7bb85a714e9cad25f1bde8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Andrew H. Baker
2. Birgit Richter
3. Victor Reiner
4. Michael E. Hoffman
5. Pavlo Pylyavskyy
6. Darij Grinberg
7. Thomas Lam
8. Mark Shimozono

In Discrete Mathematics and Combinatorics

1. Andrew H. Baker
2. Birgit Richter
3. Victor Reiner
4. Michael E. Hoffman
5. Pavlo Pylyavskyy
6. Darij Grinberg
7. Thomas Lam
8. Mark Shimozono

In Geometry and Topology

1. Thomas Lam
2. Andrew H. Baker
3. Birgit Richter
4. Victor Reiner
5. Michael E. Hoffman
6. Pavlo Pylyavskyy
7. Darij Grinberg
8. Mark Shimozono

Citations in the corpus

• Hopf Algebras in Combinatorics (2014, background): “[59] M. Hazewinkel, The Leibniz-Hopf Algebra and Lyndon Words.”
• QUASI-SYMMETRIC FUNCTIONS AND MOD p MULTIPLE HARMONIC SUMS (2004, background): “The following result was first stated by Ditters, though the first correct proof seems to be due to Hazewinkel [12].”
• Combinatorial Hopf algebras and K-homology of Grassmanians (2007, background): “In [ 8 ], Hazewinkel shows that QSym is a free algebra over Z. It would be interesting to investigate this for mQSym as well.”
• Quasisymmetric functions from a topological point of view (2006, methodology): “This conjecture states that the algebra QSymm is polynomial and was proven by Hazewinkel in [16].”