Quasisymmetric function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Quasisymmetric function" in English language version.

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18doi.org

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11arxiv.org

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5semanticscholar.org

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5harvard.edu

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1umich.edu

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arxiv.org

Haglund, J.; Luoto, K.; Mason, S.; van Willigenburg, S. (2011), "Quasisymmetric Schur functions", Journal of Combinatorial Theory, Series A, 118 (2): 463–490, arXiv:0810.2489, doi:10.1016/j.jcta.2009.11.002
Ballantine, Christina; Daughtery, Zajj; Hicks, Angela; Mason, Sarah; Niese, Elizabeth (2020), "On Quasisymmetric Power Sums", Journal of Combinatorial Theory, Series A, 175: 105273, arXiv:1710.11613, doi:10.1016/j.jcta.2020.105273, S2CID 51775423
Luoto, K. (2008), "A matroid-friendly basis for the quasisymmetric functions", Journal of Combinatorial Theory, Series A, 115 (5): 777–798, arXiv:0704.0836, Bibcode:2007arXiv0704.0836L, doi:10.1016/j.jcta.2007.10.003
Billera, L.; Jia, N.; Reiner, V. (2009), "A quasisymmetric function for matroids", European Journal of Combinatorics, 30 (8): 1727–1757, arXiv:math/0606646, Bibcode:2006math......6646B, doi:10.1016/j.ejc.2008.12.007
Shareshian, John; Wachs, Michelle L. (2007), " $q$ -Eulerian polynomials: excedance number and major index", Electron. Res. Announc. Amer. Math. Soc., 13 (4): 33–45, arXiv:math/0608274, doi:10.1090/S1079-6762-07-00172-2, S2CID 15394306
Shareshian, John; Wachs, Michelle L. (2010), "Eulerian quasisymmetric functions", Advances in Mathematics, 225 (6): 2921–2966, arXiv:0812.0764, doi:10.1016/j.aim.2010.05.009
Hyatt, Matthew (2012), "Eulerian quasisymmetric functions for the type B Coxeter group and other wreath product groups", Advances in Applied Mathematics, 48 (3): 465–505, arXiv:1007.0459, Bibcode:2010arXiv1007.0459H, doi:10.1016/j.aam.2011.11.005, S2CID 119118644
Assaf, Sami (2010), Dual Equivalence Graphs I: A combinatorial proof of LLT and Macdonald positivity, arXiv:1005.3759, Bibcode:2010arXiv1005.3759A
Billera, Louis J.; Brenti, Francesco (2011), "Quasisymmetric functions and Kazhdan–Lusztig polynomials", Israel Journal of Mathematics, 184: 317–348, arXiv:0710.3965, doi:10.1007/s11856-011-0070-0
Aguiar, Marcelo; Bergeron, Nantel; Sottile, Frank (2006), "Combinatorial Hopf algebras and generalized Dehn–Sommerville relations", Compositio Mathematica, 142 (1): 1–30, arXiv:math/0310016, Bibcode:2003math.....10016A, doi:10.1112/S0010437X0500165X, S2CID 2635356
Bergeron, Nantel; Zabrocki, Mike (2009), "The Hopf algebras of symmetric functions and quasi-symmetric functions in non-commutative variables are free and co-free", Journal of Algebra and Its Applications, 8 (4): 581–600, arXiv:math/0509265, doi:10.1142/S0219498809003485, S2CID 18601994

doi.org

Hivert, Florent (2000), "Hecke Algebras, Difference Operators, and Quasi-Symmetric Functions", Advances in Mathematics, 155 (2): 181–238, doi:10.1006/aima.1999.1901
Haglund, J.; Luoto, K.; Mason, S.; van Willigenburg, S. (2011), "Quasisymmetric Schur functions", Journal of Combinatorial Theory, Series A, 118 (2): 463–490, arXiv:0810.2489, doi:10.1016/j.jcta.2009.11.002
Ballantine, Christina; Daughtery, Zajj; Hicks, Angela; Mason, Sarah; Niese, Elizabeth (2020), "On Quasisymmetric Power Sums", Journal of Combinatorial Theory, Series A, 175: 105273, arXiv:1710.11613, doi:10.1016/j.jcta.2020.105273, S2CID 51775423
Luoto, K. (2008), "A matroid-friendly basis for the quasisymmetric functions", Journal of Combinatorial Theory, Series A, 115 (5): 777–798, arXiv:0704.0836, Bibcode:2007arXiv0704.0836L, doi:10.1016/j.jcta.2007.10.003
Billera, L.; Jia, N.; Reiner, V. (2009), "A quasisymmetric function for matroids", European Journal of Combinatorics, 30 (8): 1727–1757, arXiv:math/0606646, Bibcode:2006math......6646B, doi:10.1016/j.ejc.2008.12.007
Gessel, Ira; Reutenauer, Christophe (1993), "Counting permutations with given cycle structure and descent set", Journal of Combinatorial Theory, Series A, 64 (2): 189–215, doi:10.1016/0097-3165(93)90095-P
Shareshian, John; Wachs, Michelle L. (2007), " $q$ -Eulerian polynomials: excedance number and major index", Electron. Res. Announc. Amer. Math. Soc., 13 (4): 33–45, arXiv:math/0608274, doi:10.1090/S1079-6762-07-00172-2, S2CID 15394306
Shareshian, John; Wachs, Michelle L. (2010), "Eulerian quasisymmetric functions", Advances in Mathematics, 225 (6): 2921–2966, arXiv:0812.0764, doi:10.1016/j.aim.2010.05.009
Hyatt, Matthew (2012), "Eulerian quasisymmetric functions for the type B Coxeter group and other wreath product groups", Advances in Applied Mathematics, 48 (3): 465–505, arXiv:1007.0459, Bibcode:2010arXiv1007.0459H, doi:10.1016/j.aam.2011.11.005, S2CID 119118644
Stanley, Richard P. (1984), "On the number of reduced decompositions of elements of Coxeter groups", European Journal of Combinatorics, 5 (4): 359–372, doi:10.1016/s0195-6698(84)80039-6
Ehrenborg, Richard (1996), "On posets and Hopf algebras", Advances in Mathematics, 119 (1): 1–25, doi:10.1006/aima.1996.0026
Billey, Sara C.; Jockusch, William; Stanley, Richard P. (1993), "Some combinatorial properties of Schubert polynomials" (PDF), Journal of Algebraic Combinatorics, 2 (4): 345–374, doi:10.1023/A:1022419800503
Fomin, Sergey; Stanley, Richard P. (1994), "Schubert polynomials and the nil-Coxeter algebra", Advances in Mathematics, 103 (2): 196–207, doi:10.1006/aima.1994.1009
Billera, Louis J.; Brenti, Francesco (2011), "Quasisymmetric functions and Kazhdan–Lusztig polynomials", Israel Journal of Mathematics, 184: 317–348, arXiv:0710.3965, doi:10.1007/s11856-011-0070-0
Aguiar, Marcelo; Bergeron, Nantel; Sottile, Frank (2006), "Combinatorial Hopf algebras and generalized Dehn–Sommerville relations", Compositio Mathematica, 142 (1): 1–30, arXiv:math/0310016, Bibcode:2003math.....10016A, doi:10.1112/S0010437X0500165X, S2CID 2635356
Stembridge, John R. (1997), "Enriched P-partitions", Trans. Amer. Math. Soc., 349 (2): 763–788, doi:10.1090/S0002-9947-97-01804-7
Malvenuto, Clauda; Reutenauer, Christophe (1995), "Duality between quasi-symmetric functions and the Solomon descent algebra", Journal of Algebra, 177 (3): 967–982, doi:10.1006/jabr.1995.1336
Bergeron, Nantel; Zabrocki, Mike (2009), "The Hopf algebras of symmetric functions and quasi-symmetric functions in non-commutative variables are free and co-free", Journal of Algebra and Its Applications, 8 (4): 581–600, arXiv:math/0509265, doi:10.1142/S0219498809003485, S2CID 18601994

harvard.edu

ui.adsabs.harvard.edu

Luoto, K. (2008), "A matroid-friendly basis for the quasisymmetric functions", Journal of Combinatorial Theory, Series A, 115 (5): 777–798, arXiv:0704.0836, Bibcode:2007arXiv0704.0836L, doi:10.1016/j.jcta.2007.10.003
Billera, L.; Jia, N.; Reiner, V. (2009), "A quasisymmetric function for matroids", European Journal of Combinatorics, 30 (8): 1727–1757, arXiv:math/0606646, Bibcode:2006math......6646B, doi:10.1016/j.ejc.2008.12.007
Hyatt, Matthew (2012), "Eulerian quasisymmetric functions for the type B Coxeter group and other wreath product groups", Advances in Applied Mathematics, 48 (3): 465–505, arXiv:1007.0459, Bibcode:2010arXiv1007.0459H, doi:10.1016/j.aam.2011.11.005, S2CID 119118644
Assaf, Sami (2010), Dual Equivalence Graphs I: A combinatorial proof of LLT and Macdonald positivity, arXiv:1005.3759, Bibcode:2010arXiv1005.3759A
Aguiar, Marcelo; Bergeron, Nantel; Sottile, Frank (2006), "Combinatorial Hopf algebras and generalized Dehn–Sommerville relations", Compositio Mathematica, 142 (1): 1–30, arXiv:math/0310016, Bibcode:2003math.....10016A, doi:10.1112/S0010437X0500165X, S2CID 2635356

semanticscholar.org

api.semanticscholar.org

Ballantine, Christina; Daughtery, Zajj; Hicks, Angela; Mason, Sarah; Niese, Elizabeth (2020), "On Quasisymmetric Power Sums", Journal of Combinatorial Theory, Series A, 175: 105273, arXiv:1710.11613, doi:10.1016/j.jcta.2020.105273, S2CID 51775423
Shareshian, John; Wachs, Michelle L. (2007), " $q$ -Eulerian polynomials: excedance number and major index", Electron. Res. Announc. Amer. Math. Soc., 13 (4): 33–45, arXiv:math/0608274, doi:10.1090/S1079-6762-07-00172-2, S2CID 15394306
Hyatt, Matthew (2012), "Eulerian quasisymmetric functions for the type B Coxeter group and other wreath product groups", Advances in Applied Mathematics, 48 (3): 465–505, arXiv:1007.0459, Bibcode:2010arXiv1007.0459H, doi:10.1016/j.aam.2011.11.005, S2CID 119118644
Aguiar, Marcelo; Bergeron, Nantel; Sottile, Frank (2006), "Combinatorial Hopf algebras and generalized Dehn–Sommerville relations", Compositio Mathematica, 142 (1): 1–30, arXiv:math/0310016, Bibcode:2003math.....10016A, doi:10.1112/S0010437X0500165X, S2CID 2635356
Bergeron, Nantel; Zabrocki, Mike (2009), "The Hopf algebras of symmetric functions and quasi-symmetric functions in non-commutative variables are free and co-free", Journal of Algebra and Its Applications, 8 (4): 581–600, arXiv:math/0509265, doi:10.1142/S0219498809003485, S2CID 18601994

umich.edu

deepblue.lib.umich.edu

Billey, Sara C.; Jockusch, William; Stanley, Richard P. (1993), "Some combinatorial properties of Schubert polynomials" (PDF), Journal of Algebraic Combinatorics, 2 (4): 345–374, doi:10.1023/A:1022419800503