%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2017-06-06 17:30:54 +1000 %% Saved with string encoding Unicode (UTF-8) @article{Kashiwara.Nakashima.1994, Author = {Kashiwara, M. and Nakashima, T.}, Date-Modified = {2017-03-30 11:20:16 +0000}, Doi = {10.1006/jabr.1994.1114}, Fjournal = {Journal of Algebra}, Journal = {J. Algebra}, Pages = {295--345}, Title = {Crystal graphs for representations of the {$q$}-analogue of classical {L}ie algebras}, Volume = {165}, Year = {1994}, Bdsk-Url-1 = {http://dx.doi.org/10.1006/jabr.1994.1114}} @book{Bump.Schilling.2017, Author = {Bump, D. and Schilling, A.}, Date-Modified = {2017-03-30 11:06:28 +0000}, Publisher = {World Scientific}, Title = {Crystal {B}ases: {R}epresentations and {C}ombinatorics}, Year = {2017}} @book{Lam.1995, Author = {Lam, T. K.}, Date-Modified = {2017-03-30 11:23:12 +0000}, Mrclass = {Thesis}, Note = {Thesis (Ph.D.)--Massachusetts Institute of Technology}, Pages = {(no paging)}, Publisher = {ProQuest LLC}, Title = {B and {D} analogues of stable {S}chubert polynomials and related insertion algorithms}, Year = {1995}} @article{Serrano.2010, Author = {Serrano, L.}, Date-Modified = {2017-04-03 06:52:54 +0000}, Doi = {10.1007/s00209-009-0573-0}, Fjournal = {Mathematische Zeitschrift}, Journal = {Math. Z.}, Pages = {363--392}, Title = {The shifted plactic monoid}, Volume = {266}, Year = {2010}, Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00209-009-0573-0}} @article{Stembridge.1989, Author = {Stembridge, J. R.}, Date-Modified = {2017-03-30 11:28:44 +0000}, Doi = {10.1016/0001-8708(89)90005-4}, Fjournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Pages = {87--134}, Title = {Shifted tableaux and the projective representations of symmetric groups}, Volume = {74}, Year = {1989}, Bdsk-Url-1 = {http://dx.doi.org/10.1016/0001-8708(89)90005-4}} @article{Cho.2013, Author = {Cho, S.}, Date-Modified = {2017-03-30 11:07:25 +0000}, Doi = {10.1090/s0002-9947-2012-05653-4}, Journal = {Trans. Amer. Math. Soc.}, Pages = {939--972}, Title = {A new {L}ittlewood-{R}ichardson rule for {S}chur {$P$}-functions}, Volume = {365}, Year = {2013}, Bdsk-Url-1 = {http://dx.doi.org/10.1090/s0002-9947-2012-05653-4}} @article{Billey.2014, Author = {Billey, S. and Hamaker, Z. and Roberts, A. and Young, B.}, Date-Modified = {2017-03-30 11:05:43 +0000}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Pages = {Paper 4.6}, Title = {Coxeter-{K}nuth graphs and a signed {L}ittle map for type {B} reduced words}, Url = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i4p6}, Volume = {21}, Year = {2014}, Bdsk-Url-1 = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i4p6}} @article{Morse.Schilling.2016, Author = {Morse, J. and Schilling, A.}, Date-Modified = {2017-03-30 11:25:14 +0000}, Doi = {10.1093/imrn/rnv194}, Fjournal = {International Mathematics Research Notices. IMRN}, Journal = {Int. Math. Res. Not. IMRN}, Number = {8}, Pages = {2239--2294}, Title = {Crystal approach to affine {S}chubert calculus}, Year = {2016}, Bdsk-Url-1 = {http://dx.doi.org/10.1093/imrn/rnv194}} @article{Kraskiewicz.1989, Author = {Kra{\'s}kiewicz, W.}, Date-Modified = {2017-03-30 11:20:25 +0000}, Fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique}, Journal = {C. R. Acad. Sci. Paris S\'er. I Math.}, Number = {16}, Pages = {903--907}, Title = {Reduced decompositions in hyperoctahedral groups}, Volume = {309}, Year = {1989}} @article{Kraskiewicz.1995, Author = {Kra{\'s}kiewicz, W.}, Date-Modified = {2017-03-30 11:29:12 +0000}, Doi = {10.1016/0195-6698(95)90033-0}, Fjournal = {European Journal of Combinatorics}, Journal = {European J. Combin.}, Pages = {293--313}, Title = {Reduced decompositions in {W}eyl groups}, Volume = {16}, Year = {1995}, Bdsk-Url-1 = {http://dx.doi.org/10.1016/0195-6698(95)90033-0}} @article{Haiman.1989, Author = {Haiman, M.}, Date-Modified = {2017-03-30 11:18:12 +0000}, Doi = {10.1016/0097-3165(89)90015-0}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Pages = {196--225}, Title = {On mixed insertion, symmetry, and shifted {Y}oung tableaux}, Volume = {50}, Year = {1989}, Bdsk-Url-1 = {http://dx.doi.org/10.1016/0097-3165(89)90015-0}} @article{Edelmann.Greene.1987, Author = {Edelman, P. and Greene, C.}, Date-Modified = {2017-03-30 11:08:12 +0000}, Doi = {10.1016/0001-8708(87)90063-6}, Fjournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Pages = {42--99}, Title = {Balanced tableaux}, Volume = {63}, Year = {1987}, Bdsk-Url-1 = {http://dx.doi.org/10.1016/0001-8708(87)90063-6}} @article{Fomin.Kirillov.1996, Author = {Fomin, S. and Kirillov, A. N.}, Date-Modified = {2017-03-30 11:14:30 +0000}, Doi = {10.1090/s0002-9947-96-01558-9}, Fjournal = {Transactions of the American Mathematical Society}, Journal = {Trans. Amer. Math. Soc.}, Pages = {3591--3620}, Title = {Combinatorial {$B_n$}-analogues of {S}chubert polynomials}, Volume = {348}, Year = {1996}, Bdsk-Url-1 = {http://dx.doi.org/10.1090/s0002-9947-96-01558-9}} @article{Billey.Haiman.1995, Author = {Billey, S. and Haiman, M.}, Date-Modified = {2017-03-30 11:04:19 +0000}, Doi = {10.2307/2152823}, Fjournal = {Journal of the American Mathematical Society}, Journal = {J. Amer. Math. Soc.}, Pages = {443--482}, Title = {Schubert polynomials for the classical groups}, Volume = {8}, Year = {1995}, Bdsk-Url-1 = {http://dx.doi.org/10.2307/2152823}} @article{Stanley.1984, Author = {Stanley, R. P.}, Date-Modified = {2017-03-30 11:28:12 +0000}, Doi = {10.1016/s0195-6698(84)80039-6}, Fjournal = {European Journal of Combinatorics}, Journal = {European J. Combin.}, Pages = {359--372}, Title = {On the number of reduced decompositions of elements of {C}oxeter groups}, Volume = {5}, Year = {1984}, Bdsk-Url-1 = {http://dx.doi.org/10.1016/s0195-6698(84)80039-6}} @article{kashiwara.1994, Author = {Kashiwara, M.}, Date-Modified = {2017-03-30 11:18:54 +0000}, Doi = {10.1215/s0012-7094-94-07317-1}, Fjournal = {Duke Mathematical Journal}, Issn = {0012-7094}, Journal = {Duke Math. J.}, Mrclass = {17B37 (17B10)}, Mrnumber = {1262212}, Mrreviewer = {Kailash C. Misra}, Pages = {383--413}, Title = {Crystal bases of modified quantized enveloping algebra}, Volume = {73}, Year = {1994}, Bdsk-Url-1 = {http://dx.doi.org/10.1215/s0012-7094-94-07317-1}}