Edit Profile (opens in new tab) Foissy, Loïc Compute Distance To: Compute Author ID: foissy.loic Published as: Foissy, Loïc; Foissy, L. Documents Indexed: 47 Publications since 2002, including 1 Book Reviewing Activity: 169 Reviews Co-Authors: 15 Co-Authors with 15 Joint Publications 324 Co-Co-Authors all top 5 Co-Authors 32 single-authored 6 Patras, Frédéric 3 Malvenuto, Claudia 3 Manchon, Dominique 2 Fauvet, Frédéric 2 Thibon, Jean-Yves 1 Alev, Jacques 1 Duchamp, Gerard Henry Edmond 1 Ebrahimi-Fard, Kurusch 1 Fromentin, Jean 1 Hoang-Nghia, Nguyen 1 Kock, Joachim 1 Ninet, Alain 1 Novelli, Jean-Christophe 1 Tanasă, Adrian 1 Unterberger, Jérémie M. all top 5 Serials 6 Advances in Mathematics 4 Communications in Algebra 4 Journal of Algebra 3 Journal of Pure and Applied Algebra 3 IMRN. International Mathematics Research Notices 3 Bulletin des Sciences Mathématiques 2 Annales de l’Institut Fourier 2 Journal of Combinatorial Theory. Series A 2 Journal of Algebraic Combinatorics 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 European Journal of Combinatorics 1 International Journal of Algebra and Computation 1 The Electronic Journal of Combinatorics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Noncommutative Geometry 1 International Electronic Journal of Algebra (IEJA) 1 Advances in Pure and Applied Mathematics 1 European Journal of Mathematics 1 Références Sciences all top 5 Fields 44 Associative rings and algebras (16-XX) 31 Combinatorics (05-XX) 16 Nonassociative rings and algebras (17-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Quantum theory (81-XX) 6 Category theory; homological algebra (18-XX) 2 Systems theory; control (93-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 374 times in 211 Documents Cited by ▼ Year ▼ The Hopf algebras of decorated rooted trees. I. (Les algèbres de Hopf des arbres enracinés décorés. I.) Zbl 1013.16026Foissy, L. 63 2002 The Hopf algebras of decorated rooted trees. II. (Les algèbres de Hopf des arbres enracinés décorés. II.) Zbl 1013.16027Foissy, L. 55 2002 Bidendriform bialgebras, trees, and free quasi-symmetric functions. Zbl 1123.16030Foissy, Loïc 35 2007 Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations. Zbl 1158.16020Foissy, Loïc 27 2008 Finite dimensional comodules over the Hopf algebra of rooted trees. Zbl 1017.16031Foissy, L. 24 2002 The infinitesimal Hopf algebra and the poset of planar forests. Zbl 1192.16033Foissy, L. 14 2009 Classification of systems of Dyson-Schwinger equations in the Hopf algebra of decorated rooted trees. Zbl 1234.16024Foissy, Loïc 13 2010 Deformations of shuffles and quasi-shuffles. (Déformations des algèbres de battages et quasi-battages.) Zbl 1347.05243Foissy, Loïc; Patras, Frédéric; Thibon, Jean-Yves 9 2016 Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions. Zbl 1390.16032Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric 9 2016 The Hopf algebra of finite topologies and \(T\)-partitions. Zbl 1344.16031Foissy, Loïc; Malvenuto, Claudia 9 2015 Natural endomorphisms of shuffle algebras. Zbl 1298.16021Foissy, Loïc; Patras, Frédéric 9 2013 Ordered forests, permutations, and iterated integrals. Zbl 1331.16026Foissy, Loïc; Unterberger, Jérémie 8 2013 Plane posets, special posets, and permutations. Zbl 1296.06003Foissy, L. 8 2013 Algebraic structures on double and plane posets. Zbl 1276.06002Foissy, Loïc 7 2013 The Hopf algebra of Fliess operators and its dual pre-Lie algebra. Zbl 1333.16036Foissy, Loïc 7 2015 The infinitesimal Hopf algebra and the operads of planar forests. Zbl 1226.18012Foissy, Loïc 6 2010 General Dyson-Schwinger equations and systems. Zbl 1341.81022Foissy, Loïc 6 2014 Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials. Zbl 1407.16032Foissy, Loïc 6 2019 Ordered forests and parking functions. Zbl 1242.16031Foissy, Loïc 5 2012 A pre-Lie algebra associated to a linear endomorphism and related algebraic structures. Zbl 1362.17036Foissy, Loïc 5 2015 Free brace algebras are free pre-Lie algebras. Zbl 1209.17002Foissy, Loïc 5 2010 The Hopf algebra of finite topologies and mould composition. (Algébre de Hopf des topologies finies et composition moulienne.) Zbl 1431.16036Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique 5 2017 Free and cofree Hopf algebras. Zbl 1241.16021Foissy, L. 4 2012 The Poisson trace group of certain algebras of invariants. (Le groupe des traces de Poisson de certaines algèbres d’invariants.) Zbl 1287.17043Alev, Jacques; Foissy, Loïc 4 2009 Lie algebras associated to systems of Dyson-Schwinger equations. Zbl 1231.16030Foissy, Loïc 4 2011 A combinatorial non-commutative Hopf algebra of graphs. Zbl 1294.05090Duchamp, Gérard H. E.; Foissy, Loïc; Hoang-Nghia, Nguyen; Manchon, Dominique; Tanasa, Adrian 3 2014 Hopf subalgebras of rooted trees from Dyson-Schwinger equations. Zbl 1242.16030Foissy, Loïc 3 2010 Polynomial realizations of some combinatorial Hopf algebras. Zbl 1290.05153Foissy, Loïc; Novelli, Jean-Christophe; Thibon, Jean-Yves 3 2014 Pre-Lie algebras and systems of Dyson-Schwinger equations. Zbl 1354.81041Foissy, Loïc 2 2015 A theory of pictures for quasi-posets. Zbl 1387.06003Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric 2 2017 Quantizations of Hopf algebras of decorated planar trees and connection with quantum groups. (Quantifications des algèbres de Hopf d’arbres plans décorés et lien avec les groupes quantiques.) Zbl 1042.16023Foissy, L. 2 2003 Lie theory for quasi-shuffle bialgebras. Zbl 1464.16026Foissy, Loïc; Patras, Frédéric 2 2020 Typed binary trees and generalized dendrifom algebras. Zbl 1478.16028Foissy, Loïc 2 2021 Primitive elements of the Hopf algebra of free quasi-symmetric functions. Zbl 1222.16025Foissy, L. 1 2011 Deformation of the Hopf algebra of plane posets. Zbl 1294.16024Foissy, Loïc 1 2014 A divisibility result in combinatorics of generalized braids. Zbl 1369.05213Foissy, Loïc; Fromentin, Jean 1 2017 Study of the double Lie algebra of decorated rooted trees. (Étude de l’algèbre de Lie double des arbres enracinés décorés.) Zbl 1171.16020Foissy, L. 1 2007 Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric 1 2020 Operads of finite posets. Zbl 1391.06003Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique 1 2018 Multigraded Dyson-Schwinger systems. Zbl 1443.81055Foissy, Loïc 1 2020 Algebraic structures on typed decorated rooted trees. Zbl 07431225Foissy, Loïc 1 2021 Typed binary trees and generalized dendrifom algebras. Zbl 1478.16028Foissy, Loïc 2 2021 Algebraic structures on typed decorated rooted trees. Zbl 07431225Foissy, Loïc 1 2021 Lie theory for quasi-shuffle bialgebras. Zbl 1464.16026Foissy, Loïc; Patras, Frédéric 2 2020 Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric 1 2020 Multigraded Dyson-Schwinger systems. Zbl 1443.81055Foissy, Loïc 1 2020 Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials. Zbl 1407.16032Foissy, Loïc 6 2019 Operads of finite posets. Zbl 1391.06003Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique 1 2018 The Hopf algebra of finite topologies and mould composition. (Algébre de Hopf des topologies finies et composition moulienne.) Zbl 1431.16036Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique 5 2017 A theory of pictures for quasi-posets. Zbl 1387.06003Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric 2 2017 A divisibility result in combinatorics of generalized braids. Zbl 1369.05213Foissy, Loïc; Fromentin, Jean 1 2017 Deformations of shuffles and quasi-shuffles. (Déformations des algèbres de battages et quasi-battages.) Zbl 1347.05243Foissy, Loïc; Patras, Frédéric; Thibon, Jean-Yves 9 2016 Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions. Zbl 1390.16032Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric 9 2016 The Hopf algebra of finite topologies and \(T\)-partitions. Zbl 1344.16031Foissy, Loïc; Malvenuto, Claudia 9 2015 The Hopf algebra of Fliess operators and its dual pre-Lie algebra. Zbl 1333.16036Foissy, Loïc 7 2015 A pre-Lie algebra associated to a linear endomorphism and related algebraic structures. Zbl 1362.17036Foissy, Loïc 5 2015 Pre-Lie algebras and systems of Dyson-Schwinger equations. Zbl 1354.81041Foissy, Loïc 2 2015 General Dyson-Schwinger equations and systems. Zbl 1341.81022Foissy, Loïc 6 2014 A combinatorial non-commutative Hopf algebra of graphs. Zbl 1294.05090Duchamp, Gérard H. E.; Foissy, Loïc; Hoang-Nghia, Nguyen; Manchon, Dominique; Tanasa, Adrian 3 2014 Polynomial realizations of some combinatorial Hopf algebras. Zbl 1290.05153Foissy, Loïc; Novelli, Jean-Christophe; Thibon, Jean-Yves 3 2014 Deformation of the Hopf algebra of plane posets. Zbl 1294.16024Foissy, Loïc 1 2014 Natural endomorphisms of shuffle algebras. Zbl 1298.16021Foissy, Loïc; Patras, Frédéric 9 2013 Ordered forests, permutations, and iterated integrals. Zbl 1331.16026Foissy, Loïc; Unterberger, Jérémie 8 2013 Plane posets, special posets, and permutations. Zbl 1296.06003Foissy, L. 8 2013 Algebraic structures on double and plane posets. Zbl 1276.06002Foissy, Loïc 7 2013 Ordered forests and parking functions. Zbl 1242.16031Foissy, Loïc 5 2012 Free and cofree Hopf algebras. Zbl 1241.16021Foissy, L. 4 2012 Lie algebras associated to systems of Dyson-Schwinger equations. Zbl 1231.16030Foissy, Loïc 4 2011 Primitive elements of the Hopf algebra of free quasi-symmetric functions. Zbl 1222.16025Foissy, L. 1 2011 Classification of systems of Dyson-Schwinger equations in the Hopf algebra of decorated rooted trees. Zbl 1234.16024Foissy, Loïc 13 2010 The infinitesimal Hopf algebra and the operads of planar forests. Zbl 1226.18012Foissy, Loïc 6 2010 Free brace algebras are free pre-Lie algebras. Zbl 1209.17002Foissy, Loïc 5 2010 Hopf subalgebras of rooted trees from Dyson-Schwinger equations. Zbl 1242.16030Foissy, Loïc 3 2010 The infinitesimal Hopf algebra and the poset of planar forests. Zbl 1192.16033Foissy, L. 14 2009 The Poisson trace group of certain algebras of invariants. (Le groupe des traces de Poisson de certaines algèbres d’invariants.) Zbl 1287.17043Alev, Jacques; Foissy, Loïc 4 2009 Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations. Zbl 1158.16020Foissy, Loïc 27 2008 Bidendriform bialgebras, trees, and free quasi-symmetric functions. Zbl 1123.16030Foissy, Loïc 35 2007 Study of the double Lie algebra of decorated rooted trees. (Étude de l’algèbre de Lie double des arbres enracinés décorés.) Zbl 1171.16020Foissy, L. 1 2007 Quantizations of Hopf algebras of decorated planar trees and connection with quantum groups. (Quantifications des algèbres de Hopf d’arbres plans décorés et lien avec les groupes quantiques.) Zbl 1042.16023Foissy, L. 2 2003 The Hopf algebras of decorated rooted trees. I. (Les algèbres de Hopf des arbres enracinés décorés. I.) Zbl 1013.16026Foissy, L. 63 2002 The Hopf algebras of decorated rooted trees. II. (Les algèbres de Hopf des arbres enracinés décorés. II.) Zbl 1013.16027Foissy, L. 55 2002 Finite dimensional comodules over the Hopf algebra of rooted trees. Zbl 1017.16031Foissy, L. 24 2002 all cited Publications top 5 cited Publications all top 5 Cited by 176 Authors 32 Foissy, Loïc 20 Ebrahimi-Fard, Kurusch 14 Manchon, Dominique 14 Patras, Frédéric 11 Gao, Xing 9 Shojaei-Fard, Ali 8 Guo, Li 7 Luo, Yan Feng 6 Novelli, Jean-Christophe 6 Thibon, Jean-Yves 5 Belhaj Mohamed, Mohamed 5 Bultel, Jean-Paul 5 Giraudo, Samuele 5 Gray, W. Steven 5 Peng, Xiao-Song 5 Unterberger, Jérémie M. 4 Bai, Chengming 4 Chen, Dan 4 Clavier, Pierre J. 4 Kock, Joachim 4 Malvenuto, Claudia 4 Mansuy, Anthony 4 Menous, Frédéric 3 Aguiar, Marcelo 3 Duffaut Espinosa, Luis A. 3 Fauvet, Frédéric 3 Li, Yu 3 Ma, Tianshui 3 Mo, Qiuhui 3 Paycha, Sylvie 3 Saïdi, Abdellatif 3 Zhang, Bin 3 Zhao, Wenhua 2 Ayadi, Mohamed Ali 2 Bonnafé, Cédric 2 Brouder, Christian 2 Bruned, Yvain 2 Celestino, Adrián 2 Chevyrev, Ilya 2 Colmenarejo, Laura 2 Diehl, Joscha 2 Frabetti, Alessandra 2 Friz, Peter Karl 2 Gavarini, Fabio 2 Grinberg, Darij 2 Gubinelli, Massimiliano 2 Kreimer, Dirk 2 Li, Yunnan 2 Livernet, Muriel 2 Magnen, Jacques 2 Makhlouf, Abdenacer 2 Mammez, Cécile 2 Ondrus, Matthew 2 Perales, Daniel 2 Sauzin, David 2 Schedler, Travis 2 Sottile, Frank 2 Szczesny, Matthew 2 Turaev, Vladimir Georgievich 2 Wang, Xiaomeng 2 Wiesner, Emilie B. 2 Zhang, Tianjie 2 Zhang, Yuanyuan 2 Zhao, Xiangui 1 Belinschi, Serban Teodor 1 Bellon, Marc P. 1 Blessenohl, Dieter 1 Boedihardjo, Horatio 1 Bokut, Leonid A. 1 Bonnefoi, Timothée 1 Borinsky, Michael 1 Bouillot, Olivier 1 Bozejko, Marek 1 Burgunder, Emily 1 Butin, Frédéric 1 Calaque, Damien 1 Calderón Martín, Antonio Jesús 1 Cass, Thomas Richard 1 Chandra, Ajay 1 Chapoton, Frédéric 1 Chappell, Thomas 1 Chatbouri, Ridha 1 Cheballah, Hayat 1 Chen, Liangyun 1 Crisan, Dan O. 1 Curry, Charles 1 Dahmen, Rafael 1 Delcroix-Oger, Bérénice 1 Dimakis, Aristophanes 1 Dotsenko, Vladimir Viktorovich 1 Duchamp, Gerard Henry Edmond 1 Esteves, João N. 1 Etingof, Pavel Il’ich 1 Figueroa, Héctor 1 Friedl, Tobias 1 Gálvez-Carrillo, Imma 1 Gan, Wee Liang 1 Gracia-Bondía, José M. 1 Guin, Daniel 1 Gustavson, Richard ...and 76 more Authors all top 5 Cited in 78 Serials 20 Journal of Algebra 15 Journal of Algebraic Combinatorics 13 Communications in Algebra 13 Advances in Mathematics 9 Letters in Mathematical Physics 9 Journal of Pure and Applied Algebra 6 Journal of Mathematical Physics 5 Communications in Mathematical Physics 5 Advances in Applied Mathematics 5 Journal of Algebra and its Applications 4 Journal of Combinatorial Theory. Series A 4 Bulletin des Sciences Mathématiques 3 International Journal of Modern Physics A 3 Journal of Differential Equations 3 European Journal of Combinatorics 3 International Journal of Algebra and Computation 3 Foundations of Computational Mathematics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Noncommutative Geometry 2 Discrete Mathematics 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Colloquium Mathematicum 2 Systems & Control Letters 2 Annales Mathématiques Blaise Pascal 2 Séminaire Lotharingien de Combinatoire 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 2 European Journal of Mathematics 1 Modern Physics Letters A 1 International Journal of Control 1 Linear and Multilinear Algebra 1 Nuclear Physics. B 1 Physics Reports 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Bulletin de la Société Mathématique de France 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 SIAM Journal on Discrete Mathematics 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Journal of Mathematical Physics 1 Algebra Colloquium 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 The Electronic Journal of Combinatorics 1 Opuscula Mathematica 1 Documenta Mathematica 1 Journal of Mathematical Chemistry 1 Mathematical Physics, Analysis and Geometry 1 Algebras and Representation Theory 1 Journal of Integer Sequences 1 International Journal of Geometric Methods in Modern Physics 1 Oberwolfach Reports 1 Mathematics in Computer Science 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 International Electronic Journal of Algebra (IEJA) 1 Journal of \(K\)-Theory 1 Advances in Mathematical Physics 1 Advances in Pure and Applied Mathematics 1 Forum of Mathematics, Sigma 1 Algebra 1 Quantum Studies: Mathematics and Foundations 1 Open Mathematics all top 5 Cited in 39 Fields 155 Associative rings and algebras (16-XX) 93 Combinatorics (05-XX) 67 Nonassociative rings and algebras (17-XX) 53 Quantum theory (81-XX) 32 Category theory; homological algebra (18-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 17 Probability theory and stochastic processes (60-XX) 9 Functional analysis (46-XX) 7 Group theory and generalizations (20-XX) 6 Commutative algebra (13-XX) 6 Partial differential equations (35-XX) 6 Systems theory; control (93-XX) 5 Number theory (11-XX) 5 Topological groups, Lie groups (22-XX) 5 Ordinary differential equations (34-XX) 5 Computer science (68-XX) 4 Algebraic geometry (14-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General algebraic systems (08-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) Citations by Year