%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2019-05-10 16:32:49 +1000 %% Saved with string encoding Unicode (UTF-8) @article{MR1041447, Author = {Sundaram, S.}, Coden = {JCBTA7}, Doi = {10.1016/0097-3165(90)90059-6}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05E10 (20G05)}, Mrnumber = {1041447}, Mrreviewer = {Alexander V. Rozenblyum}, Number = {2}, Pages = {239--256}, Title = {Orthogonal tableaux and an insertion algorithm for {${\rm SO}(2n+1)$}}, Volume = {53}, Year = {1990}, Bdsk-Url-1 = {https://doi.org/10.1016/0097-3165(90)90059-6}} @book{MR1676282, Author = {Stanley, R. P.}, Date-Modified = {2019-05-10 16:31:59 +1000}, Doi = {10.1017/CBO9780511609589}, Mrclass = {05A15 (05-02 05E05 05E10 68R05)}, Mrnumber = {1676282}, Mrreviewer = {Ira Gessel}, Number = {62}, Publisher = {Cambridge University Press, Cambridge}, Series = {Cambridge Studies in Advanced Mathematics}, Title = {Enumerative Combinatorics. {V}ol. 2}, Year = {1999}, Bdsk-Url-1 = {https://doi.org/10.1017/CBO9780511609589}} @article{MR3482440, Author = {Kwon, J.-H.}, Coden = {JAOME7}, Doi = {10.1007/s10801-015-0646-6}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Journal = {J. Algebraic Combin.}, Mrclass = {17B37 (17B10)}, Mrnumber = {3482440}, Number = {3}, Pages = {553--588}, Title = {Super duality and crystal bases for quantum ortho-symplectic superalgebras {II}}, Volume = {43}, Year = {2016}, Bdsk-Url-1 = {https://doi.org/10.1007/s10801-015-0646-6}} @article{MR3226822, Author = {Rubey, M. and Sagan, B. E. and Westbury, B. W.}, Doi = {10.1007/s10801-013-0483-4}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Journal = {J. Algebraic Combin.}, Mrclass = {05E10 (05E05 05E15)}, Mrnumber = {3226822}, Mrreviewer = {Markus E. Fulmek}, Number = {1}, Pages = {187--208}, Title = {Descent sets for symplectic groups}, Volume = {40}, Year = {2014}, Bdsk-Url-1 = {https://doi.org/10.1007/s10801-013-0483-4}} @article{MR3604801, Author = {Okada, S.}, Date-Modified = {2019-05-10 16:30:55 +1000}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Mrclass = {05E10 (05A15 05A19 20G05)}, Mrnumber = {3604801}, Mrreviewer = {Rishi Nath}, Number = {4}, Pages = {Paper 4.43, 27 pp}, Title = {Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux}, Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i4p43}, Volume = {23}, Year = {2016}} @article{MR3814326, Author = {Kwon, J.-H.}, Doi = {10.1090/tran/7104}, Fjournal = {Transactions of the American Mathematical Society}, Journal = {Trans. Amer. Math. Soc.}, Mrclass = {17B37 (05E10 20G05 22E46)}, Mrnumber = {3814326}, Number = {9}, Pages = {6125--6152}, Title = {Combinatorial extension of stable branching rules for classical groups}, Volume = {370}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.1090/tran/7104}} @article{MR1043509, Author = {Proctor, R. A.}, Coden = {CJMAAB}, Doi = {10.4153/CJM-1990-002-1}, Fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques}, Journal = {Canad. J. Math.}, Mrclass = {20G05 (05A15)}, Mrnumber = {1043509}, Mrreviewer = {John R. Stembridge}, Number = {1}, Pages = {28--49}, Title = {A {S}chensted algorithm which models tensor representations of the orthogonal group}, Volume = {42}, Year = {1990}, Bdsk-Url-1 = {https://doi.org/10.4153/CJM-1990-002-1}} @article{MR899903, Author = {Stembridge, J. R.}, Doi = {10.1016/0097-3165(87)90077-X}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05A15 (05A17 20C07 20C15)}, Mrnumber = {899903}, Mrreviewer = {Bruce Sagan}, Number = {1}, Pages = {79--120}, Title = {Rational tableaux and the tensor algebra of {${\rm gl}_n$}}, Volume = {46}, Year = {1987}, Bdsk-Url-1 = {https://doi.org/10.1016/0097-3165(87)90077-X}} @article{MR3534070, Author = {Krattenthaler, C.}, Doi = {10.1016/j.jcta.2016.06.015}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05A15 (05A19 05E10)}, Mrnumber = {3534070}, Mrreviewer = {Eric S. Egge}, Pages = {277--291}, Title = {Bijections between oscillating tableaux and (semi)standard ta\-bleaux via growth diagrams}, Volume = {144}, Year = {2016}, Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2016.06.015}} @phdthesis{MR2716353, Author = {Roby, T. W.}, Date-Modified = {2019-05-10 16:31:25 +1000}, Mrclass = {Thesis}, Mrnumber = {2716353}, Publisher = {ProQuest LLC, Ann Arbor, MI}, School = {Massachusetts Institute of Technology}, Title = {Applications and extensions of {F}omin's generalization of the {R}obinson-{S}chensted correspondence to differential posets}, Year = {1991}} @phdthesis{MR2941115, Author = {Sundaram, S.}, Date-Modified = {2019-05-10 16:32:48 +1000}, Mrclass = {Thesis}, Mrnumber = {2941115}, Publisher = {ProQuest LLC, Ann Arbor, MI}, School = {Massachusetts Institute of Technology}, Title = {On the combinatorics of representations of the symmetric group}, Year = {1986}} @book{MR1881971, Author = {Hong, J. and Kang, S.-J.}, Doi = {10.1090/gsm/042}, Mrclass = {17B37 (05E15 81R50 82B23)}, Mrnumber = {1881971}, Mrreviewer = {Anne Schilling}, Pages = {xviii+307}, Publisher = {American Mathematical Society, Providence, RI}, Series = {Graduate Studies in Mathematics}, Title = {Introduction to quantum groups and crystal bases}, Volume = {42}, Year = {2002}, Bdsk-Url-1 = {https://doi.org/10.1090/gsm/042}} @inproceedings{ONCRYSTALBASES, Author = {Kashiwara, M.}, Booktitle = {Canadian Mathematical Society Conference Proceedings}, Title = {On Crystal Bases}, Year = {1995}} @article{3erAlgo, Author = {Jagenteufel, J.}, Date-Modified = {2019-05-10 16:30:14 +1000}, Fjournal = {Electronic Journal of Combinatorics}, Issn = {1077-8926}, Journal = {Electron. J. Combin.}, Mrclass = {05E10}, Mrnumber = {3875015}, Number = {3}, Pages = {Paper 3.50, 44 pp}, Title = {A {S}undaram type bijection for $\mathrm{SO}(3)$: vacillating tableaux and pairs of standard {Y}oung tableaux and orthogonal {L}ittlewood-{R}ichardson tableaux}, Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i3p50}, Volume = {25}, Year = {2018}} @misc{2kplus1erAlgo, Author = {Jagenteufel, J.}, Eprint = {1902.03843}, Eprinttype = {arXiv}, Title = {A Sundaram type bijection for SO (2k+1): vacillating tableaux and pairs consisting of a standard Young tableau and an orthogonal Littlewood-Richardson tableau}, Year = {2019}}