@article {berg18, AUTHOR = {Berg, C. and Bergeron, N. and Saliola, F. and Serrano, L. and Zabrocki, M.}, TITLE = {A lift of the {S}chur and {H}all-{L}ittlewood bases to non-commutative symmetric functions}, JOURNAL = {Canad. J. Math.}, FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Math\'{e}matiques}, VOLUME = {66}, YEAR = {2014}, NUMBER = {3}, PAGES = {525--565}, ISSN = {0008-414X}, MRCLASS = {05E05}, MRNUMBER = {3194160}, MRREVIEWER = {Ang\`ele M. Hamel}, DOI = {10.4153/CJM-2013-013-0}, URL = {https://doi.org/10.4153/CJM-2013-013-0}, } @article {row0hecke, AUTHOR = {Niese, Elizabeth and Sundaram, Sheila and van Willigenburg, Stephanie and Vega, Julianne and Wang, Shiyun}, TITLE = {0-{H}ecke modules for row-strict dual immaculate functions}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {377}, YEAR = {2024}, PAGES = {2525-2582}, } @article {campbell2014, AUTHOR = {Campbell, J. M. and Feldman, K. and Light, J. and Shuldiner, P. and Xu, Y.}, TITLE = {A {S}chur-like basis of {NS}ym defined by a {P}ieri rule}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {21}, YEAR = {2014}, NUMBER = {3}, PAGES = {Paper 3.41, 19}, MRCLASS = {05E05 (05A05 05A17)}, MRNUMBER = {3262278}, MRREVIEWER = {Carolina Benedetti}, DOI = {10.37236/3857}, URL = {https://doi.org/10.37236/3857}, } @book {Luoto2013, AUTHOR = {Luoto, K. and Mykytiuk, S. and van Willigenburg, S.}, TITLE = {An introduction to quasisymmetric {S}chur functions}, SERIES = {SpringerBriefs in Mathematics}, NOTE = {Hopf algebras, quasisymmetric functions, and Young composition tableaux}, PUBLISHER = {Springer, New York}, YEAR = {2013}, PAGES = {xiv+89}, ISBN = {978-1-4614-7299-5; 978-1-4614-7300-8}, MRCLASS = {05-02 (05E05)}, MRNUMBER = {3097867}, MRREVIEWER = {Hugh Ross Thomas}, DOI = {10.1007/978-1-4614-7300-8}, URL = {https://doi.org/10.1007/978-1-4614-7300-8}, } @article {bergerondualpieri, AUTHOR = {Bergeron, N. and S\'{a}nchez-Ortega, J. and Zabrocki, M.}, TITLE = {The {P}ieri rule for dual immaculate quasi-symmetric functions}, JOURNAL = {Ann. Comb.}, FJOURNAL = {Annals of Combinatorics}, VOLUME = {20}, YEAR = {2016}, NUMBER = {2}, PAGES = {283--300}, ISSN = {0218-0006}, MRCLASS = {05E05 (05E15)}, MRNUMBER = {3505320}, MRREVIEWER = {Maciej Do\l \polhk ega}, DOI = {10.1007/s00026-016-0303-3}, URL = {https://doi.org/10.1007/s00026-016-0303-3}, } @article {berg_structures, AUTHOR = {Berg, C. and Bergeron, N. and Saliola, F. and Serrano, L. and Zabrocki, M.}, TITLE = {Multiplicative structures of the immaculate basis of non-commutative symmetric functions}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {152}, YEAR = {2017}, PAGES = {10--44}, ISSN = {0097-3165}, MRCLASS = {05E05}, MRNUMBER = {3682726}, MRREVIEWER = {Arthur L. B. Yang}, DOI = {10.1016/j.jcta.2017.05.003}, URL = {https://doi.org/10.1016/j.jcta.2017.05.003}, } @article {Camp, AUTHOR = {Campbell, J. M. and Feldman, K. and Light, J. and Shuldiner, Pavel and Xu, Yan}, TITLE = {A {S}chur-like basis of {{NS}ym} defined by a {P}ieri rule}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {21}, YEAR = {2014}, NUMBER = {3}, PAGES = {Paper 3.41, 19}, ISSN = {1077-8926}, MRCLASS = {05E05 (05A05 05A17)}, MRNUMBER = {3262278}, MRREVIEWER = {Carolina\ Benedetti}, DOI = {10.37236/3857}, URL = {https://doi.org/10.37236/3857}, } @article {Assa, AUTHOR = {Assaf, S. and Searles, D.}, TITLE = {Kohnert polynomials}, JOURNAL = {Exp. Math.}, FJOURNAL = {Experimental Mathematics}, VOLUME = {31}, YEAR = {2022}, NUMBER = {1}, PAGES = {93--119}, ISSN = {1058-6458,1944-950X}, MRCLASS = {14M15 (05E05 14N15)}, MRNUMBER = {4399112}, MRREVIEWER = {Fyodor\ L.\ Zak}, DOI = {10.1080/10586458.2019.1588180}, URL = {https://doi.org/10.1080/10586458.2019.1588180}, } @article {haglund2011, AUTHOR = {Haglund, Jim and Luoto, Kurt and Mason, Sarah and van Willigenburg, Stephanie}, TITLE = {Quasisymmetric {S}chur functions}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. 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IMRN}, FJOURNAL = {International Mathematics Research Notices. IMRN}, YEAR = {2011}, NUMBER = {6}, PAGES = {1205--1219}, ISSN = {1073-7928,1687-0247}, MRCLASS = {16T05 (05E05)}, MRNUMBER = {2806503}, MRREVIEWER = {\^{A}ngela\ Mestre}, DOI = {10.1093/imrn/rnq104}, URL = {https://doi.org/10.1093/imrn/rnq104}, } @misc{Dau, title={A Generalization of the Dual Immaculate Quasisymmetric Functions in Partially Commutative Variables}, author={S. Daugherty}, year={2023}, eprint={2309.08518}, archivePrefix={arXiv}, primaryClass={math.CO} } @misc{Dau2, title={Extended Schur functions and Bases Related by Involutions}, author={S. Daugherty}, year={2023. In Prep}, }