Volume 21, issue 1 (2021)

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A simplicial groupoid for plethysm

Alex Cebrian

Algebraic & Geometric Topology 21 (2021) 421–445
Bibliography
1 T Bauer, Formal plethories, Adv. Math. 254 (2014) 497 MR3161106
2 F Bergeron, Une combinatoire du pléthysme, J. Combin. Theory Ser. A 46 (1987) 291 MR914661
3 F Bergeron, A combinatorial outlook on symmetric functions, J. Combin. Theory Ser. A 50 (1989) 226 MR989195
4 J Borger, B Wieland, Plethystic algebra, Adv. Math. 194 (2005) 246 MR2139914
5 C Brouder, A Frabetti, C Krattenthaler, Non-commutative Hopf algebra of formal diffeomorphisms, Adv. Math. 200 (2006) 479 MR2200854
6 I Gálvez-Carrillo, J Kock, A Tonks, Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees, Adv. Math. 254 (2014) 79 MR3161093
7 I Gálvez-Carrillo, J Kock, A Tonks, Decomposition spaces, incidence algebras and Möbius inversion, I : Basic theory, Adv. Math. 331 (2018) 952 MR3804694
8 I Gálvez-Carrillo, J Kock, A Tonks, Decomposition spaces, incidence algebras and Möbius inversion, II : Completeness, length filtration, and finiteness, Adv. Math. 333 (2018) 1242 MR3818099
9 I Gálvez-Carrillo, J Kock, A Tonks, Homotopy linear algebra, Proc. Roy. Soc. Edinburgh Sect. A 148 (2018) 293 MR3777576
10 A Joyal, Une théorie combinatoire des séries formelles, Adv. Math. 42 (1981) 1 MR633783
11 D E Littlewood, Invariant theory, tensors and group characters, Philos. Trans. Roy. Soc. Lond. Ser. A 239 (1944) 305 MR10594
12 J Lurie, Higher algebra, preprint (2017)
13 I G Macdonald, Symmetric functions and Hall polynomials, Oxford Univ. Press (1979) MR553598
14 O Nava, G C Rota, Plethysm, categories, and combinatorics, Adv. Math. 58 (1985) 61 MR812935
15 G Pólya, Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen, Acta Math. 68 (1937) 145 MR1577579
16 R P Stanley, Enumerative combinatorics, II, 62, Cambridge Univ. Press (1999) MR1676282