%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2019-05-28 14:44:47 +1000 %% Saved with string encoding Unicode (UTF-8) @article{stanley_group, Author = {Stanley, R.}, Journal = {Journal of combinatorial theory, Series A}, Number = {2}, Pages = {132--161}, Publisher = {Citeseer}, Title = {Some aspects of groups acting on finite posets}, Volume = {32}, Year = {1982}} @article{Doubilet, Author = {Doubilet, P.}, Date-Modified = {2019-05-28 14:41:22 +1000}, Doi = {10.1002/sapm1972514377}, Journal = {Studies Appl. Math.}, Pages = {377-396}, Title = {On the Foundations of Combinatorial Theory. VII: Symmetric Functions through the Theory of Distribution and Occupancy}, Volume = {51}, Year = {1972}, Bdsk-Url-1 = {https://doi.org/10.1002/sapm1972514377}} @misc{Sch, Archiveprefix = {arXiv}, Author = {{Breuer}, F. and {Klivans}, C.~J.}, Date-Modified = {2019-05-28 14:42:45 +1000}, Eprint = {1401.2978}, Journal = {ArXiv e-prints}, Keywords = {Mathematics - Combinatorics}, Primaryclass = {math.CO}, Title = {{Scheduling Problems}}, Year = 2014} @article{Rota1, Author = {Rota, G.C.}, Date-Modified = {2019-05-28 14:42:24 +1000}, Doi = {10.1007/bf00531932}, Journal = {Z. Wahrscheinlichkeitstheor. Verw. Geb.}, Pages = {340--368}, Publisher = {Springer}, Title = {On the foundations of combinatorial theory I. Theory of M{\"o}bius functions}, Volume = {2}, Year = {1964}} @misc{GPHopf, Archiveprefix = {arXiv}, Author = {{Aguiar}, M. and {Ardila}, F.}, Eprint = {1709.07504}, Journal = {ArXiv e-prints}, Keywords = {Mathematics - Combinatorics, 05Exx, 16T30, 52Bxx (Primary) 05Axx, 13F25, 90C27 (Secondary)}, Month = sep, Primaryclass = {math.CO}, Title = {{Hopf monoids and generalized permutahedra}}, Year = 2017} @misc{HopfDreams, Archiveprefix = {arXiv}, Author = {{Bergeron}, N. and {Ceballos}, C. and {Pilaud}, V.}, Eprint = {1807.03044}, Journal = {ArXiv e-prints}, Keywords = {Mathematics - Combinatorics, 16T05, 16T30, 05E10}, Month = jul, Primaryclass = {math.CO}, Title = {{Hopf dreams}}, Year = 2018} @article{Marberg, Acmid = {2807822}, Address = {Hingham, MA, USA}, Author = {Marberg, E.}, Doi = {10.1007/s10801-015-0585-2}, Issue_Date = {September 2015}, Journal = {J. Algebraic Comb.}, Month = sep, Number = {2}, Numpages = {38}, Pages = {391--428}, Publisher = {Kluwer Academic Publishers}, Title = {Strong Forms of Linearization for Hopf Monoids in Species}, Volume = {42}, Year = {2015}, Bdsk-Url-1 = {https://doi.org/10.1007/s10801-015-0585-2}} @article{MRHopf, Author = {M. Aguiar and F. Sottile}, Date-Modified = {2019-05-28 14:44:47 +1000}, Doi = {10.1016/j.aim.2004.03.007}, Journal = {Adv. in Math.}, Keywords = {Hopf algebra, Symmetric group, Weak order, Quasi-symmetric function}, Number = {2}, Pages = {225 - 275}, Title = {Structure of the Malvenuto--Reutenauer Hopf algebra of permutations}, Volume = {191}, Year = {2005}, Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2004.03.007}} @article{PrimMatroids, Author = {Crapo, H. and Schmitt, W.}, Date-Modified = {2019-05-28 14:43:47 +1000}, Doi = {10.1007/s10801-007-0066-3}, Journal = {J. Algebraic Comb.}, Number = {1}, Pages = {43-64}, Title = {Primitive elements in the matroid-minor Hopf algebra}, Volume = {28}, Year = {2005}, Bdsk-Url-1 = {https://doi.org/10.1007/s10801-007-0066-3}} @article{BKgroup, Author = {Eric Babson and Dmitry N. Kozlov}, Doi = {https://doi.org/10.1016/j.jalgebra.2001.07.002}, Journal = {Journal of Algebra}, Number = {2}, Pages = {439 - 450}, Title = {Group actions on posets}, Volume = {285}, Year = {2005}, Bdsk-Url-1 = {https://doi.org/10.1016/j.jalgebra.2001.07.002}} @misc{fedHopf, Author = {{Aguiar}, M. and {Ardila}, F.}, Date-Modified = {2019-05-28 14:43:19 +1000}, Eprint = {1709.07504}, Eprinttype = {arXiv}, Journal = {ArXiv e-prints}, Primaryclass = {math.CO}, Title = {{Hopf monoids and generalized permutahedra}}, Year = {2017}} @misc{hopfBook, Author = {Aguiar, M. and Mahajan, S.}, Date-Modified = {2019-05-28 14:39:49 +1000}, Eprint = {1210.3120}, Eprinttype = {arxiv}, Title = {Hopf monoids in the category of species}, Year = {2012}} @book{zelevinsky2006representations, Author = {Zelevinsky, A.V.}, Publisher = {Springer Berlin Heidelberg}, Series = {Lecture Notes in Mathematics}, Title = {Representations of Finite Classical Groups: A Hopf Algebra Approach}, Year = {2006}}