%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2019-05-10 15:18:30 +1000 %% Saved with string encoding Unicode (UTF-8) @misc{Ass-R, Author = {Assaf, Sami}, Date-Modified = {2019-05-10 15:07:46 +1000}, Eprint = {1703.00088}, Eprinttype = {arXiv}, Title = {Combinatorial models for {S}chubert polynomials}, Year = {2017}} @article{AM11, Author = {Assaf, Sami H. and McNamara, Peter R. W.}, Date-Modified = {2019-05-10 15:08:23 +1000}, Doi = {10.1016/j.jcta.2010.03.010 }, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Number = {1}, Pages = {277--290}, Title = {A {P}ieri rule for skew shapes}, Volume = {118}, Year = {2011}} @article{AS17, Author = {Assaf, Sami and Searles, Dominic}, Date-Modified = {2019-05-10 15:08:53 +1000}, Doi = {10.1016/j.aim.2016.10.015 }, Fjournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Pages = {89--122}, Title = {Schubert polynomials, slide polynomials, {S}tanley symmetric functions and quasi-{Y}amanouchi pipe dreams}, Volume = {306}, Year = {2017}} @article{AS18, Author = {Assaf, Sami and Searles, Dominic}, Date-Modified = {2019-05-10 15:09:24 +1000}, Doi = {10.1016/j.jcta.2018.01.001 }, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Pages = {85--118}, Title = {{K}ohnert tableaux and a lifting of quasi-{S}chur functions}, Volume = {156}, Year = {2018}} @article{AS-Kohnert, Author = {Assaf, Sami and Searles, Dominic}, Fjournal = {Experimental Mathematics}, Journal = {Exp. Math.}, Note = {To appear}, Title = {{K}ohnert polynomials}, Year = {2019}} @article{CFLSX14, Author = {Campbell, John and Feldman, Karen and Light, Jennifer and Shuldiner, Pavel and Xu, Yan}, Date-Modified = {2019-05-10 15:11:44 +1000}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Number = {3}, Pages = {Paper 3.41, 19 pp}, Title = {A {S}chur-like basis of {NS}ym defined by a {P}ieri rule}, Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i3p41}, Volume = {21}, Year = {2014}} @article{Dem74a, Author = {Demazure, Michel}, Fjournal = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie}, Journal = {Ann. Sci. \'Ecole Norm. Sup. (4)}, Note = {Collection of articles dedicated to Henri Cartan on the occasion of his 70th birthday, I}, Pages = {53--88}, Title = {D\'esingularisation des vari\'et\'es de {S}chubert g\'en\'eralis\'ees}, Volume = {7}, Year = {1974}} @article{Dem74, Author = {Demazure, Michel}, Fjournal = {Bulletin des Sciences Math\'ematiques. 2e S\'erie}, Journal = {Bull. Sci. Math. (2)}, Number = {3}, Pages = {163--172}, Title = {Une nouvelle formule des caract\`eres}, Volume = {98}, Year = {1974}} @incollection{Ges84, Address = {Providence, RI}, Author = {Gessel, Ira M.}, Booktitle = {Combinatorics and Algebra (Boulder, Colo., 1983)}, Date-Modified = {2019-05-10 15:13:00 +1000}, Number = {34}, Pages = {289--317}, Publisher = {Amer. Math. Soc.}, Series = {Contemp. Math.}, Title = {Multipartite {$P$}-partitions and inner products of skew {S}chur functions}, Year = {1984}} @article{Koh91, Author = {Kohnert, Axel}, Date-Modified = {2019-05-10 15:14:59 +1000}, Fjournal = {Bayreuther Mathematische Schriften}, Journal = {Bayreuth. Math. Schr.}, Note = {Dissertation, Universit{\"a}t Bayreuth, Bayreuth, 1990}, Pages = {1--97}, Title = {Weintrauben, {P}olynome, {T}ableaux}, Volume = {38}, Year = {1991}} @article{KP1, Author = {Kra\'skiewicz, Witold and Pragacz, Piotr}, Fjournal = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique}, Journal = {C. R. Acad. Sci. Paris S\'er. I. Math.}, Number = {304}, Pages = {209--211}, Title = {Foncteurs de Schubert}, Year = {1987}} @article{KP2, Author = {Kra\'skiewicz, Witold and Pragacz, Piotr}, Date-Modified = {2019-05-10 15:14:53 +1000}, Doi = {10.1016/j.ejc.2003.09.016 }, Fjournal = {European Journal of Combinatorics}, Journal = {European J. Combin.}, Number = {8}, Pages = {1327--1344}, Title = {Schubert functors and Schubert polynomials}, Volume = {25}, Year = {2004}} @article{LS82, Author = {Lascoux, Alain and Sch{\"u}tzenberger, Marcel-Paul}, Fjournal = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique}, Journal = {C. R. Acad. Sci. Paris S\'er. I Math.}, Number = {13}, Pages = {447--450}, Title = {Polyn\^omes de {S}chubert}, Volume = {294}, Year = {1982}} @incollection{LS90, Author = {Lascoux, Alain and Sch{\"u}tzenberger, Marcel-Paul}, Booktitle = {Invariant Theory and Tableaux ({M}inneapolis, {MN}, 1988)}, Date-Modified = {2019-05-10 15:15:36 +1000}, Number = {19}, Pages = {125--144}, Publisher = {Springer, New York}, Series = {IMA Vol. Math. Appl.}, Title = {Keys \& standard bases}, Year = {1990}} @article{RS95, Author = {Reiner, Victor and Shimozono, Mark}, Date-Modified = {2019-05-10 15:16:28 +1000}, Doi = {10.1016/0097-3165(95)90083-7 }, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Number = {1}, Pages = {107--143}, Title = {Key polynomials and a flagged {L}ittlewood-{R}ichardson rule}, Volume = {70}, Year = {1995}} @article{RS95-2, Author = {Reiner, Victor and Shimozono, Mark}, Date-Modified = {2019-05-10 15:16:57 +1000}, Doi = {10.1006/jabr.1995.1136 }, Fjournal = {Journal of Algebra}, Journal = {J. Algebra}, Number = {2}, Pages = {489--522}, Title = {Specht series for column-convex diagrams}, Volume = {174}, Year = {1995}} @article{RS98, Author = {Reiner, Victor and Shimozono, Mark}, Date-Modified = {2019-05-10 15:17:24 +1000}, Doi = {10.1006/jcta.1997.2841 }, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Number = {1}, Pages = {1--73}, Title = {Percentage-avoiding, northwest shapes and peelable tableaux}, Volume = {82}, Year = {1998}} @article{Win99, Author = {Winkel, Rudolf}, Date-Modified = {2019-05-10 15:17:52 +1000}, Doi = {10.1006/jcta.1998.2931 }, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Number = {1}, Pages = {14--48}, Title = {Diagram rules for the generation of {S}chubert polynomials}, Volume = {86}, Year = {1999}} @article{Win02, Author = {Winkel, Rudolf}, Date-Modified = {2019-05-10 15:18:29 +1000}, Fjournal = {S\'eminaire Lotharingien de Combinatoire}, Journal = {S\'em. Lothar. Combin.}, Pages = {Art.\ B48f, 14 pp}, Title = {A derivation of {K}ohnert's algorithm from {M}onk's rule}, Url = {https://www.mat.univie.ac.at/~slc/wpapers/s48winkel.html}, Volume = {48}, Year = {2002}}