A combinatorial non-commutative Hopf algebra of graphs

Autor: Adrian Tanasa, Gerard Duchamp, Loïc Foissy, Nguyen Hoang-Nghia, Dominique Manchon

Publikováno v: Discrete Mathematics & Theoretical Computer Science, Vol Vol. 16 no. 1, Iss Combinatorics (2014)

Combinatorics

Externí odkaz: https://doaj.org/article/28e0ca2934da455385fdd4b88812f910

The Universal Pre-Lie–Rinehart Algebras of Aromatic Trees

Autor: Gunnar Fløystad, Hans Munthe-Kaas, Dominique Manchon

Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9783030783457

We organize colored aromatic trees into a pre-Lie–Rinehart algebra (i.e., a flat torsion-free Lie–Rinehart algebra) endowed with a natural trace map, and show the freeness of this object among pre-Lie–Rinehart algebras with trace. This yields t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cf03cce87845d524948b1f366a9942f7
https://doi.org/10.1007/978-3-030-78346-4_9

Free (tri)dendriform family algebras

Autor: Yuanyuan Zhang, Dominique Manchon, Xing Gao

Publikováno v: Journal of Algebra
Journal of Algebra, Elsevier, 2020, ⟨10.1016/978-3-030-37030-5⟩
Journal of Algebra, 2020, ⟨10.1016/978-3-030-37030-5⟩

In this paper, we first prove that a Rota-Baxter family algebra indexed by a semigroup induces an ordinary Rota-Baxter algebra structure on the tensor product with the semigroup algebra. We show that the same phenomenon arises for dendriform and trid

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc2468552d6abe14c168917c4ff2cb01
https://hal.archives-ouvertes.fr/hal-02404042/file/S0021869319306581.pdf

Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen–Fliess Series

Autor: Kurusch Ebrahimi-Fard, Dominique Manchon, W. Steven Gray

Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9783030370305

The goal of the paper is to give a systematic way to numerically evaluate the generating function of a periodic multiple polylogarithm using a Chen–Fliess series with a rational generating series. The idea is to realize the corresponding Chen–Fli

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cbe8c874470f5e2da057110aa737b6a5
https://doi.org/10.1007/978-3-030-37031-2_17

Auteurs

Autor: Laetitia, Amalou, Cédric, Annweiler, Élise, Artaud-Macari, Alexis, Arvin-Bérod, Patrick, Assayag, Maria, Bailleul, Emma, Bajeux, Grégory, Baptista, Martine, Barateau, Bernard, Bauduceau, Laetitia, Beernaert, Joël, Belmin, Athanase, Bénétos, Michel, Benoit, Hubert, Blain, Sylva, Blazkova, Wanda, Blervaque, Sylvie, Bonin-Guillaume, Mylène, Bonnaire, Marc, Bonnefoy, Mathilde, Bordage, Lyse, Bordier, Chokri, Boubakri, Didier, Bouccara, Anne-Sophie, Boureau, Bruneau, Marie-Andrée, Pierre-Emmanuel, Cailleaux, Priscille, Carvalho, Philippe, Chassagne, Aline, Corvol, Matthieu, Coulongeat, Antoine, Cuvelier, Sandra, De Breucker, Laure, De Decker, Tristan, De Nattes, Amandine, Dessertennes, Audrey, De Vos, Benoît, de Wazières, Frédéric, Di Fiore, Aurélien, Dinh, Cristiano, Donadio, Jean-Michel, Dorey, Jean, Doucet, Olivier, Drunat, Feriel, Fennira, Claire, Falandry, Juliette, Fontaine, Thibaut, Fraisse, Patrick, Friocourt, Tamàs, Fülöp, Julien, Gaudric, Jean-Bernard, Gauvain, Gaëtan, Gavazzi, Xavier, Gbaguidi, Charles-Emmanuel, Geffroy, Christian, Geny, Édouard, Georgeton, Baptiste, Gérard, Angélique, Giacomini, Mathilde, Gisselbrecht, Alice, Gochard-Rodrigues, Bernard, Goichot, Régis, Gonthier, Odile, Goria, Adrien, Grancher, Béatrice, Guérin, Dominique, Guerrot, Olivier, Hanon, Charlotte, Havreng-Théry, Réjean, Hébert, Mathieu, Herrmann, Patrick, Hidoux, Jérémie, Huet, Witold, Jarzebowski, Olivier, Jeanjean, Georges, Kaltenbach, Alain, Koskas, Pierre, Krolak-Salmon, Carmelo, Lafuente-Lafuente, Pierre-Olivier, Lang, Martine, Le Noc Soudani, Amandine, Lecarpentier, Laurent, Lechowski, Pierre-Olivier, Lefebvre, Anne, Léger, Caroline, Lemaitre, Thierry, Lequerré, Anaïs, Lesourd, Pierre, Lutzler, Arach, Madjlessi, Éric, Maeker, Emmanuel, Maheu, Patrick, Manckoundia, Nathalie, Maubourguet, Sylvie, Meaume, Anne, Michel, Boubacar, Mohamed, Hélène, Montialoux, Sophie, Moulias, France, Mourey, Stéphane, Nacache, Sylvain, N'Guyen, Charlotte, Nouhaud, Jean-Luc, Novella, Christel, Oasi, Marine, Olivieri, Bruno, Oquendo, Mourad, Ould Slimane, Marc, Paccalin, Elena, Paillaud, Frédéric, Pamoukdjian, Sylvie, Pariel, Erika, Parmentier-Decrucq, Christine, Perret-Guillaume, Mélissa-Asli, Petit, François, Pinoche, Julien, Poissy, Valérie, Pouysségur, Isabelle, Prêcheur, Alain, Putot, Yasmine, Rassam-Hasso, Agathe, Raynaud-Simon, Clothilde, Riquier, Frédéric, Roca, Jean, Roche, Pierre-Alexandre, Roger, Nathalie, Salles, Patricia, Senet, Dominique, Somme, Carmen, Suna-Enache, Alain, Tavildari, Achille, Tchalla, Laurent, Teillet, Lise, Teisseire, Cathy, Théry, Éric, Vérin, Maurice, Viala, Marguerite, Vignon, Olivier, Vittecoq, Eugenia, Volpentesta, Lise, Willems, Alberto, Zalar, Sabrina, Aït, Gilles, Albrand, Jean-Pierre, Aquino, André, Aurengo, Odile, Baugé-Faraldi, Nadine, Bazin, Jean-Louis, Beaudeux, Xavier, Belenfant, Lotfi, Ben Slama, Athanase, Benetos, Jean-Marc, Bereder, Gilles, Berrut, François, Blanchard, Jacques, Boddaert, Christophe, Bouché, Rabia, Boulahssass, Isabelle, Bourdel-Marchasson, Anne, Bruhat, Marie-Andrée, Bruneau, Agnès, Camus, Corinne, Capet, Emmanuelle, Champion, Dominique, Chavanne, Patrick, Chérin, Florence, Chopin, Thierry, Constans, Pascal, Couturier, Véronique, Cressot, Laure, de Decker, Anne-Sophie, De Saint-Léger, Benoit, De Wazières, Philippe, Denormandie, Violaine, Derambure, Laurent, Druesne, Bernard, Durand-Gasselin, Richard, Durant, Marc, Faraldi, Anne-Laure, Fauchais, Audrey, Fel, Éric, François, Florent, François, Éric, Frau, Jacques, Gaillat, Danièle, Ganem-Chabenet, David, Gaucher, Pierre, Gauthier, Gaël, Gendron, Armelle, Gentric, Laura, Goodrich, Isabelle, Got, Etty, Grynberg, Jean-Michel, Guérin, Olivier, Guerin, Karine, Guignery-Kadri, Bernard, Guillot, Victor, Haddad, Pierre, Haond, Cyril, Hazif-Thomas, Jacqueline, Henry, François, Héron, Géraldine, Heurteux, †<%2Fce%3Asup>%2C+Hommet%22">Caroline†<%2Fce%3Asup>%2C+Pfitzenmeyer%22">PierreAnnales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2017
Annales de l'Institut Fourier, 2017, 67 (3), pp.911-945. ⟨10.5802/aif.3100⟩

We exhibit an internal coproduct on the Hopf algebra of finite topologies recently defined by the second author, C. Malvenuto and F. Patras, dual to the composition of "quasi-ormoulds", which are the natural version of J. Ecalle's moulds in this sett

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac8f1d95292ca8d3c30f681b81ddf392
https://doi.org/10.5802/aif.3100