@article{BCHOPSY.2017, AUTHOR = {Benkart, G. and Colmenarejo, L. and Harris, P.E. and Orellana, R. and Panova, G. and Schilling, A. and Yip, M.}, TITLE = {A minimaj-preserving crystal on ordered multiset partitions}, JOURNAL = {Adv. in Appl. Math.}, FJOURNAL = {Advances in Applied Mathematics}, VOLUME = {95}, YEAR = {2018}, PAGES = {96--115}, DOI = {10.1016/j.aam.2017.11.006} } @book {Bump.Schilling.2017, AUTHOR = {Bump, D. and Schilling, A.}, TITLE = {Crystal bases}, NOTE = {Representations and combinatorics}, PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ}, YEAR = {2017}, PAGES = {xii+279}, } @article{CM.2015, Author = {Carlsson, E. and Mellit, A.}, Title = {A proof of the shuffle conjecture}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {31}, YEAR = {2018}, NUMBER = {3}, PAGES = {661--697}, DOI = {10.1090/jams/893} } @article {HHLRU.2005, AUTHOR = {Haglund, J. and Haiman, M. and Loehr, N. and Remmel, J.B. and Ulyanov, A.P.}, TITLE = {A combinatorial formula for the character of the diagonal coinvariants}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {126}, YEAR = {2005}, NUMBER = {2}, PAGES = {195--232}, DOI = {10.1215/S0012-7094-04-12621-1} } @article{HRW.2015, AUTHOR = {Haglund, J. and Remmel, J.B. and Wilson, A.T.}, TITLE = {The Delta Conjecture}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, YEAR = {2018}, VOLUME = {370}, NUMBER = {6}, PAGES = {4029--4057}, DOI = {10.1090/tran/7096} } @article{Rhoades.2016, author = {Rhoades, B.}, title = {Ordered set partition statistics and the {D}elta {C}onjecture}, year = {2018}, journal = {J. Combin. Theory Ser. A}, volume = {154}, pages = {172--217}, DOI = {10.1016/j.jcta.2017.08.017} } @article{HRS.2016, Author = {Haglund, J. and Rhoades, B. and Shimozono, M.}, Title = {Ordered set partitions, generalized coinvariant algebras, and the Delta conjecture}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {329}, YEAR = {2018}, PAGES = {851--915}, URL = {https://doi.org/10.1016/j.aim.2018.01.028} } @article {Kashiwara.1990, AUTHOR = {Kashiwara, M.}, TITLE = {Crystalizing the {$q$}-analogue of universal enveloping algebras}, JOURNAL = {Comm. Math. Phys.}, FJOURNAL = {Communications in Mathematical Physics}, VOLUME = {133}, YEAR = {1990}, NUMBER = {2}, PAGES = {249--260}, DOI = {10.1007/BF02097367} } @article {Kashiwara.1991, AUTHOR = {Kashiwara, M.}, TITLE = {On crystal bases of the {$Q$}-analogue of universal enveloping algebras}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {63}, YEAR = {1991}, NUMBER = {2}, PAGES = {465--516}, DOI = {10.1215/S0012-7094-91-06321-0} } @article {Stembridge.2003, AUTHOR = {Stembridge, J.R.}, TITLE = {A local characterization of simply-laced crystals}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {355}, YEAR = {2003}, NUMBER = {12}, PAGES = {4807--4823}, DOI = {10.1090/S0002-9947-03-03042-3} } @article {Wilson.2016, AUTHOR = {Wilson, A.T.}, TITLE = {An extension of {M}ac{M}ahon's equidistribution theorem to ordered multiset partitions}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {23}, YEAR = {2016}, NUMBER = {1}, PAGES = {Paper 1.5, 21 pp.}, URL = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p5} } @misc{combinat, author = {The {S}age-{C}ombinat community}, note = {\url{http://combinat.sagemath.org}}, title = {{S}age-{C}ombinat: enhancing {S}age as a toolbox for computer exploration in algebraic combinatorics}, year = {2008}, } @manual{sage, organization = {The Sage Developers}, key = {Sage}, note = {\url{http://www.sagemath.org}}, organization = {The Sage Development Team}, title = {{S}age {M}athematics {S}oftware ({V}ersion 8.0)}, year = {2017}, }