%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2019-04-24 17:55:24 +1000 %% Saved with string encoding Unicode (UTF-8) @preamble{"\providecommand\noopsort[1]{}"} @comment{jabref-meta: databaseType:bibtex;} @unpublished{Doyle2008, Author = {Doyle, Peter G. and Rockmore, Dan}, Date-Added = {2017-04-25 03:10:34 +0000}, Date-Modified = {2017-04-25 03:11:48 +0000}, Note = {\url{https://arxiv.org/abs/0804.0157}}, Title = {Riffles, ruffles, and the turning algebra}, Year = {2008}} @article{Aguiar2004, Author = {Aguiar, Marcelo and Bergeron, Nantel and Nyman, Kathryn}, Date-Added = {2017-04-25 03:00:48 +0000}, Date-Modified = {2017-04-25 03:00:59 +0000}, Doi = {10.1090/S0002-9947-04-03541-X}, Fjournal = {Transactions of the American Mathematical Society}, Issn = {0002-9947}, Journal = {Trans. Amer. Math. Soc.}, Mrclass = {20C30 (05A05 05E15 20F55)}, Mrnumber = {2052597}, Mrreviewer = {Christophe Hohlweg}, Number = {7}, Pages = {2781--2824}, Title = {The peak algebra and the descent algebras of types {$B$} and {$D$}}, Url = {http://dx.doi.org/10.1090/S0002-9947-04-03541-X}, Volume = {356}, Year = {2004}, Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0002-9947-04-03541-X}} @article{Loday1989, Author = {Loday, Jean-Louis}, Date-Added = {2017-04-25 02:47:18 +0000}, Date-Modified = {2017-04-25 02:47:29 +0000}, Doi = {10.1007/BF01393976}, Fjournal = {Inventiones Mathematicae}, Issn = {0020-9910}, Journal = {Invent. Math.}, Mrclass = {18G35 (19D55)}, Mrnumber = {981743}, Mrreviewer = {Sue Geller}, Number = {1}, Pages = {205--230}, Title = {Op\'erations sur l'homologie cyclique des alg\`ebres commutatives}, Url = {http://dx.doi.org/10.1007/BF01393976}, Volume = {96}, Year = {1989}, Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01393976}} @article{Nyman2003, Author = {Nyman, Kathryn L.}, Date-Added = {2017-04-25 02:44:31 +0000}, Date-Modified = {2017-04-25 02:47:15 +0000}, Doi = {10.1023/A:1025000905826}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Issn = {0925-9899}, Journal = {J. Algebraic Combin.}, Mrclass = {05E05 (05A05 05E10 20C30)}, Mrnumber = {2001673}, Mrreviewer = {Marc A. A. van Leeuwen}, Number = {3}, Pages = {309--322}, Title = {The peak algebra of the symmetric group}, Url = {http://dx.doi.org/10.1023/A:1025000905826}, Volume = {17}, Year = {2003}, Bdsk-Url-1 = {http://dx.doi.org/10.1023/A:1025000905826}} @article{Solomon1976, Author = {Solomon, Louis}, Date-Added = {2017-04-25 02:15:31 +0000}, Date-Modified = {2017-04-25 02:15:50 +0000}, Doi = {10.1016/0021-8693(76)90182-4}, Fjournal = {Journal of Algebra}, Issn = {0021-8693}, Journal = {J. Algebra}, Mrclass = {20C05}, Mrnumber = {0444756}, Mrreviewer = {Gerald O. Losey}, Number = {2}, Pages = {255--264}, Title = {A {M}ackey formula in the group ring of a {C}oxeter group}, Url = {http://dx.doi.org/10.1016/0021-8693(76)90182-4}, Volume = {41}, Year = {1976}, Bdsk-Url-1 = {http://dx.doi.org/10.1016/0021-8693(76)90182-4}} @article{Adin2001, Author = {Adin, Ron M. and Brenti, Francesco and Roichman, Yuval}, Journal = {Adv. in Appl. Math.}, Number = {2-3}, Owner = {Yan Zhuang}, Pages = {210-224}, Timestamp = {2016.09.05}, Title = {Descent numbers and major indices for the hyperoctahedral group}, Volume = {27}, Year = {2001}} @book{Bona2012, Author = {B\'ona, Mikl\'os}, Edition = {2nd}, Owner = {Yan Zhuang}, Publisher = {CRC Press}, Series = {Discrete Mathematics and its Applications}, Timestamp = {2014.07.21}, Title = {Combinatorics of {P}ermutations}, Year = {2012}} @article{Braenden2008, Author = {Br{\"a}nd{\'e}n, Petter}, Journal = {European J. Combin.}, Number = {2}, Owner = {Yan Zhuang}, Pages = {514-531}, Timestamp = {2016.08.20}, Title = {Actions on permutations and unimodality of descent polynomials}, Volume = {29}, Year = {2008}} @article{Carlitz73, Author = {Carlitz, L.}, Date-Modified = {2019-04-24 17:40:58 +1000}, Doi = {10.1002/mana.19730580104}, Journal = {Math. Nachr.}, Pages = {31--53}, Title = {Permutations with prescribed pattern}, Volume = {58}, Year = {1973}} @article{Carlitz1976, Author = {Carlitz, L. and Scoville, Richard and Vaughan, Theresa}, Journal = {Manuscripta Math.}, Number = {3}, Owner = {Yan Zhuang}, Pages = {211--243}, Timestamp = {2015.02.19}, Title = {Enumeration of pairs of sequences by rises, falls and levels}, Volume = {19}, Year = {1976}} @article{chebikin, Author = {Chebikin, D.}, Date-Modified = {2019-04-24 17:43:19 +1000}, Journal = {Electron. J. Combin.}, Number = {1}, Pages = {Art. \#R132, 34 pp.}, Title = {Variations on descents and inversions in permutations}, Url = {http://www.combinatorics.org/Volume_15/Abstracts/v15i1r132.html}, Volume = {15}, Year = {2008}, Bdsk-Url-1 = {http://www.combinatorics.org/Volume_15/Abstracts/v15i1r132.html}} @article{MR675349, Author = {Collins, C. B. and Goulden, I. P. and Jackson, D. M. and Nierstrasz, O. M.}, Coden = {DSMHA4}, Doi = {10.1016/0012-365X(81)90234-X}, Fjournal = {Discrete Mathematics}, Issn = {0012-365X}, Journal = {Discrete Math.}, Mrclass = {05A15 (15A24)}, Mrnumber = {675349 (84g:05009)}, Mrreviewer = {Dominique Foata}, Number = {2}, Pages = {139--153}, Title = {A combinatorial application of matrix {R}iccati equations and their {$q$}-analogue}, Url = {http://dx.doi.org/10.1016/0012-365X(81)90234-X}, Volume = {36}, Year = {1981}, Bdsk-Url-1 = {http://dx.doi.org/10.1016/0012-365X(81)90234-X}} @book{David1962, Author = {F. N. David and D. E. Barton}, Owner = {Yan Zhuang}, Publisher = {Lubrecht \& Cramer Ltd}, Timestamp = {2014.07.08}, Title = {Combinatorial {C}hance}, Year = {1962}} @article{Entringer1969, Author = {Entringer, R. C.}, Journal = {Duke Math. 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Z.}, Owner = {Yan Zhuang}, Pages = {257-264}, Timestamp = {2016.08.27}, Title = {Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers}, Volume = {137}, Year = {1974}} @article{Froeberg1975, Author = {Fr\"oberg, Ralph}, Journal = {Math. Scand.}, Number = {1}, Pages = {29--39}, Title = {Determination of a class of {P}oincar\'e series}, Volume = {37}, Year = {1975}} @article{ncsf1, Author = {Gelfand, I. M. and Krob, D. and Lascoux, A. and Leclerc, B. and Retakh, V. S. and Thibon, J.-Y.}, Date-Modified = {2019-04-24 17:45:37 +1000}, Doi = {10.1006/aima.1995.1032}, Fjournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Number = {2}, Pages = {218--348}, Title = {Noncommutative symmetric functions}, Volume = {112}, Year = {1995}, Bdsk-Url-1 = {http://dx.doi.org/10.1006/aima.1995.1032}} @article{Gessel1991, Author = {Gessel, Ira M.}, Journal = {Amer. Math. 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M.}, Mrclass = {Thesis}, Mrnumber = {2940769}, Note = {Ph.D. Thesis, Massachusetts Institute of Technology}, Title = {Generating Functions and Enumeration of Sequences}, Year = {1977}} @unpublished{greene, Author = {Gessel, Ira M. and Greene, Curtis}, Note = {Unpublished manuscript}, Owner = {Yan Zhuang}, Timestamp = {2015.02.18}, Title = {Permutations with balanced patterns}, Year = {1990}} @incollection{Gessel1995, Author = {Gessel, Ira M. and Stanley, Richard P.}, Booktitle = {Handbook of Combinatorics, Vol. 2}, Editor = {R. L. Graham and M. Groetschel and L. Lovasz}, Owner = {Yan Zhuang}, Pages = {1021-1061}, Publisher = {Elsevier}, Timestamp = {2015.03.30}, Title = {Algebraic enumeration}, Year = {1995}} @article{Gessel2014, Author = {Gessel, I. M. and Zhuang, Y.}, Date-Modified = {2019-04-24 17:48:27 +1000}, Journal = {Electron. J. 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(2)}, Number = {3}, Owner = {Yan Zhuang}, Pages = {567-576}, Timestamp = {2015.05.09}, Title = {An inversion theorem for cluster decompositions of sequences with distinguished subsequences}, Volume = {20}, Year = {1979}} @article{MR0450080, Author = {Jackson, D. M. and Aleliunas, R.}, Fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques}, Issn = {0008-414X}, Journal = {Canad. J. Math.}, Mrclass = {05A15}, Mrnumber = {0450080 (56 \#8379)}, Mrreviewer = {Michael Henle}, Number = {5}, Pages = {971--1009}, Title = {Decomposition based generating functions for sequences}, Volume = {29}, Year = {1977}} @article{Jacquard1998, Author = {Jacquard, Benjamin and Schaeffer, Gilles}, Journal = {J. Comb. Theory Ser. 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