%% This BibTeX bibliography file was created using BibDesk. %% https://bibdesk.sourceforge.io/ %% Created for 장지혁 at 2022-05-02 15:58:24 +0900 %% Saved with string encoding Unicode (UTF-8) @article{Rho19, author = {Rhoades, Brendon}, doi = {10.1017/fms.2019.22}, fjournal = {Forum of Mathematics. Sigma}, journal = {Forum Math. Sigma}, mrclass = {05E10 (20C30)}, mrnumber = {3998730}, mrreviewer = {Vincenzo Chilla}, pages = {Paper No. e26, 8}, title = {The polytabloid basis expands positively into the web basis}, volume = {7}, year = {2019}, bdsk-url-1 = {https://doi.org/10.1017/fms.2019.22}} @article{RT19, author = {Russell, Heather M. and Tymoczko, Julianna S.}, doi = {10.1093/imrn/rnx164}, fjournal = {International Mathematics Research Notices. IMRN}, journal = {Int. Math. Res. Not. IMRN}, mrclass = {20C30}, mrnumber = {3920353}, mrreviewer = {Matthew Fayers}, number = {5}, pages = {1479--1502}, title = {The transition matrix between the {S}pecht and web bases is unipotent with additional vanishing entries}, year = {2019}, bdsk-url-1 = {https://doi.org/10.1093/imrn/rnx164}} @article{Nak20, author = {Nakamigawa, Tomoki}, doi = {10.26493/1855-3974.2239.7f1}, fjournal = {Ars Mathematica Contemporanea}, journal = {Ars Math. Contemp.}, mrclass = {05A15 (05A10)}, mrnumber = {4173673}, number = {2}, pages = {381--391}, title = {The expansion of a chord diagram and the {G}enocchi numbers}, volume = {18}, year = {2020}, bdsk-url-1 = {https://doi.org/10.26493/1855-3974.2239.7f1}} @article{KR84, author = {Kung, Joseph P. S. and Rota, Gian-Carlo}, doi = {10.1090/S0273-0979-1984-15188-7}, fjournal = {American Mathematical Society. Bulletin. New Series}, journal = {Bull. Amer. Math. Soc. (N.S.)}, mrclass = {05-02 (05A40 13-02 14-02 15A72)}, mrnumber = {722856}, mrreviewer = {Heinrich Niederhausen}, number = {1}, pages = {27--85}, title = {The invariant theory of binary forms}, volume = {10}, year = {1984}, bdsk-url-1 = {https://doi.org/10.1090/S0273-0979-1984-15188-7}} @book{Sta12, author = {Stanley, Richard P.}, edition = {Second}, mrclass = {05-02 (05A15 06-02)}, mrnumber = {2868112}, pages = {xiv+626}, publisher = {Cambridge University Press, Cambridge}, series = {Cambridge Studies in Advanced Mathematics}, title = {Enumerative combinatorics. {V}olume 1}, volume = {49}, year = {2012}} @book{Sta99, author = {Stanley, Richard P.}, doi = {10.1017/CBO9780511609589}, mrclass = {05A15 (05-02 05E05 05E10 68R05)}, mrnumber = {1676282}, mrreviewer = {Ira Gessel}, note = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin}, pages = {xii+581}, publisher = {Cambridge University Press, Cambridge}, series = {Cambridge Studies in Advanced Mathematics}, title = {Enumerative combinatorics. {V}ol. 2}, volume = {62}, year = {1999}, bdsk-url-1 = {https://doi.org/10.1017/CBO9780511609589}} @incollection{Sta10, author = {Stanley, Richard P.}, booktitle = {Combinatorics and graphs}, doi = {10.1090/conm/531/10466}, mrclass = {05-02 (05A05 05E05 05E10)}, mrnumber = {2757798}, mrreviewer = {Domenico Senato}, pages = {165--196}, publisher = {Amer. Math. Soc., Providence, RI}, series = {Contemp. Math.}, title = {A survey of alternating permutations}, volume = {531}, year = {2010}, bdsk-url-1 = {https://doi.org/10.1090/conm/531/10466}} @book{Ful97, author = {Fulton, William}, mrclass = {05E10 (05E05 05E15 14M15 20G05)}, mrnumber = {1464693}, mrreviewer = {Tadeusz J\'{o}zefiak}, note = {With applications to representation theory and geometry}, pages = {x+260}, publisher = {Cambridge University Press, Cambridge}, series = {London Mathematical Society Student Texts}, title = {Young {T}ableaux}, volume = {35}, year = {1997}} @book{Sag01, author = {Sagan, Bruce E.}, doi = {10.1007/978-1-4757-6804-6}, edition = {Second}, mrclass = {05E10 (05E05 20C30)}, mrnumber = {1824028}, note = {Representations, combinatorial algorithms, and symmetric functions}, pages = {xvi+238}, publisher = {Springer-Verlag, New York}, series = {Graduate Texts in Mathematics}, title = {The symmetric group}, volume = {203}, year = {2001}, bdsk-url-1 = {https://doi.org/10.1007/978-1-4757-6804-6}} @article{PPR09, author = {Petersen, T. Kyle and Pylyavskyy, Pavlo and Rhoades, Brendon}, doi = {10.1007/s10801-008-0150-3}, fjournal = {Journal of Algebraic Combinatorics. An International Journal}, journal = {J. Algebraic Combin.}, mrclass = {05E10}, mrnumber = {2519848}, mrreviewer = {Gregory S. Warrington}, number = {1}, pages = {19--41}, title = {Promotion and cyclic sieving via webs}, volume = {30}, year = {2009}, bdsk-url-1 = {https://doi.org/10.1007/s10801-008-0150-3}} @article{Kup96, author = {Kuperberg, Greg}, fjournal = {Communications in Mathematical Physics}, journal = {Comm. Math. Phys.}, mrclass = {17B10 (22E60 81R05)}, mrnumber = {1403861}, mrreviewer = {Stefano Capparelli}, number = {1}, pages = {109--151}, title = {Spiders for rank {$2$} {L}ie algebras}, url = {http://projecteuclid.org/euclid.cmp/1104287237}, volume = {180}, year = {1996}, bdsk-url-1 = {http://projecteuclid.org/euclid.cmp/1104287237}} @inproceedings{FSch73, author = {Foata, D. and Sch\"{u}tzenberger, M.-P.}, booktitle = {A survey of combinatorial theory ({P}roc. {I}nternat. {S}ympos., {C}olorado {S}tate {U}niv., {F}ort {C}ollins, {C}olo., 1971)}, mrclass = {05A15}, mrnumber = {0354391}, mrreviewer = {Harald Scheid}, pages = {173--187}, title = {Nombres d'{E}uler et permutations alternantes}, year = {1973}} @article{LW20, author = {Lazar, Alexander and Wachs, Michelle L.}, fjournal = {S\'{e}minaire Lotharingien de Combinatoire}, journal = {S\'{e}m. Lothar. Combin.}, mrclass = {52C35 (05A19)}, mrnumber = {4098314}, pages = {Art. 93, 12}, title = {On the homogenized {L}inial arrangement: intersection lattice and {G}enocchi numbers}, volume = {82B}, year = {2020}} @article{Sei77, author = {Seidel, Ludwig}, publisher = {{Verlag nicht ermittelbar}}, title = {{{\"U}ber eine einfache Entstehungsweise der Bernoulli'schen Zahlen u. einiger verwandten Reihen}}, year = {1877}} @article{Dum74, author = {Dumont, Dominique}, fjournal = {Duke Mathematical Journal}, journal = {Duke Math. J.}, mrclass = {05A10 (10A40)}, mrnumber = {337643}, mrreviewer = {L. Carlitz}, pages = {305--318}, title = {Interpr\'{e}tations combinatoires des nombres de {G}enocchi}, url = {http://projecteuclid.org/euclid.dmj/1077310398}, volume = {41}, year = {1974}, bdsk-url-1 = {http://projecteuclid.org/euclid.dmj/1077310398}} @article{IZ21, author = {Im, Mee Seong and Zhu, Jieru}, da = {2021/02/15}, date-added = {2021-09-18 16:19:09 +0900}, date-modified = {2021-09-18 16:19:09 +0900}, doi = {10.1007/s10468-020-10026-6}, id = {Im2021}, journal = {{Algebras and Representation Theory}}, title = {{Transitioning Between Tableaux and Spider Bases for Specht Modules}}, ty = {JOUR}, year = {2021}, bdsk-url-1 = {https://doi.org/10.1007/s10468-020-10026-6}} @misc{OEIS, author = {Sloane, Neil J. A. and The OEIS Foundation Inc.}, title = {The on-line encyclopedia of integer sequences}, url = {http://oeis.org/?language=english}, year = {2020}, bdsk-url-1 = {http://oeis.org/?language=english}} @article{FH16, author = {Foata, Dominique and Han, Guo-Niu}, fjournal = {S\'{e}minaire Lotharingien de Combinatoire}, journal = {S\'{e}m. Lothar. Combin.}, mrclass = {05A30 (05A15 11B68 33B10)}, mrnumber = {3476200}, mrreviewer = {Tim Huber}, pages = {Art. B73e, 54}, title = {Andr\'{e} permutation calculus: a twin {S}eidel matrix sequence}, volume = {73}, year = {[2014-2016]}} @article{Sta94, author = {Stanley, Richard P.}, date-modified = {2022-05-02 15:57:42 +0900}, doi = {10.1007/BF02572336}, fjournal = {Mathematische Zeitschrift}, journal = {Math. Z.}, mrclass = {06A07 (06A08 52B05 52B20)}, mrnumber = {1283084}, mrreviewer = {Glenn H. Hurlbert}, number = {3}, pages = {483--499}, read = {0}, title = {Flag {$f$}-vectors and the {$cd$}-index}, volume = {216}, year = {1994}, bdsk-url-1 = {https://doi.org/10.1007/BF02572336}} @article{Dis13, author = {Disanto, Filippo}, fjournal = {S\'{e}minaire Lotharingien de Combinatoire}, journal = {S\'{e}m. Lothar. Combin.}, mrclass = {06A07 (05A15)}, mrnumber = {3261810}, mrreviewer = {Philippe Nadeau}, pages = {Art. B70f, 13}, title = {Andr\'{e} permutations, right-to-left and left-to-right minima}, volume = {70}, year = {2013}}