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Foissy, Loïc

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Author ID: foissy.loic Recent zbMATH articles by "Foissy, Loïc"
Published as: Foissy, L.; Foissy, Loïc
Documents Indexed: 44 Publications since 2002, including 1 Book
Reviewing Activity: 128 Reviews

Publications by Year

Citations contained in zbMATH

37 Publications have been cited 320 times in 178 Documents Cited by Year
The Hopf algebras of decorated rooted trees. I. Zbl 1013.16026
Foissy, L.
54
2002
The Hopf algebras of decorated rooted trees. II. Zbl 1013.16027
Foissy, L.
46
2002
Bidendriform bialgebras, trees, and free quasi-symmetric functions. Zbl 1123.16030
Foissy, Loïc
31
2007
Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations. Zbl 1158.16020
Foissy, Loïc
26
2008
Finite dimensional comodules over the Hopf algebra of rooted trees. Zbl 1017.16031
Foissy, L.
22
2002
Classification of systems of Dyson-Schwinger equations in the Hopf algebra of decorated rooted trees. Zbl 1234.16024
Foissy, Loïc
10
2010
The infinitesimal Hopf algebra and the poset of planar forests. Zbl 1192.16033
Foissy, L.
10
2009
The Hopf algebra of Fliess operators and its dual pre-Lie algebra. Zbl 1333.16036
Foissy, Loïc
8
2015
Ordered forests, permutations, and iterated integrals. Zbl 1331.16026
Foissy, Loïc; Unterberger, Jérémie
8
2013
Natural endomorphisms of shuffle algebras. Zbl 1298.16021
Foissy, Loïc; Patras, Frédéric
8
2013
Deformations of shuffles and quasi-shuffles. Zbl 1347.05243
Foissy, Loïc; Patras, Frédéric; Thibon, Jean-Yves
7
2016
The Hopf algebra of finite topologies and \(T\)-partitions. Zbl 1344.16031
Foissy, Loïc; Malvenuto, Claudia
7
2015
Plane posets, special posets, and permutations. Zbl 1296.06003
Foissy, L.
7
2013
Algebraic structures on double and plane posets. Zbl 1276.06002
Foissy, Loïc
7
2013
Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions. Zbl 1390.16032
Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric
6
2016
Polynomial realizations of some combinatorial Hopf algebras. Zbl 1290.05153
Foissy, Loïc; Novelli, Jean-Christophe; Thibon, Jean-Yves
5
2014
Ordered forests and parking functions. Zbl 1242.16031
Foissy, Loïc
5
2012
The Poisson trace group of certain algebras of invariants. Zbl 1287.17043
Alev, Jacques; Foissy, Loïc
5
2009
Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials. Zbl 1407.16032
Foissy, Loïc
4
2019
The Hopf algebra of finite topologies and mould composition. Zbl 1431.16036
Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique
4
2017
General Dyson-Schwinger equations and systems. Zbl 1341.81022
Foissy, Loïc
4
2014
Free and cofree Hopf algebras. Zbl 1241.16021
Foissy, L.
4
2012
Lie algebras associated to systems of Dyson-Schwinger equations. Zbl 1231.16030
Foissy, Loïc
4
2011
The infinitesimal Hopf algebra and the operads of planar forests. Zbl 1226.18012
Foissy, Loïc
4
2010
A pre-Lie algebra associated to a linear endomorphism and related algebraic structures. Zbl 1362.17036
Foissy, Loïc
3
2015
A combinatorial non-commutative Hopf algebra of graphs. Zbl 1294.05090
Duchamp, Gérard H. E.; Foissy, Loïc; Hoang-Nghia, Nguyen; Manchon, Dominique; Tanasa, Adrian
3
2014
Hopf subalgebras of rooted trees from Dyson-Schwinger equations. Zbl 1242.16030
Foissy, Loïc
3
2010
Free brace algebras are free pre-Lie algebras. Zbl 1209.17002
Foissy, Loïc
3
2010
Operads of finite posets. Zbl 1391.06003
Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique
2
2018
Pre-Lie algebras and systems of Dyson-Schwinger equations. Zbl 1354.81041
Foissy, Loïc
2
2015
Deformation of the Hopf algebra of plane posets. Zbl 1294.16024
Foissy, Loïc
2
2014
Multigraded Dyson-Schwinger systems. Zbl 1443.81055
Foissy, Loïc
1
2020
A divisibility result in combinatorics of generalized braids. Zbl 1369.05213
Foissy, Loïc; Fromentin, Jean
1
2017
A theory of pictures for quasi-posets. Zbl 1387.06003
Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric
1
2017
Primitive elements of the Hopf algebra of free quasi-symmetric functions. Zbl 1222.16025
Foissy, L.
1
2011
Study of the double Lie algebra of decorated rooted trees. Zbl 1171.16020
Foissy, L.
1
2007
Quantizations of Hopf algebras of decorated planar trees and connection with quantum groups. Zbl 1042.16023
Foissy, L.
1
2003
Multigraded Dyson-Schwinger systems. Zbl 1443.81055
Foissy, Loïc
1
2020
Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials. Zbl 1407.16032
Foissy, Loïc
4
2019
Operads of finite posets. Zbl 1391.06003
Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique
2
2018
The Hopf algebra of finite topologies and mould composition. Zbl 1431.16036
Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique
4
2017
A divisibility result in combinatorics of generalized braids. Zbl 1369.05213
Foissy, Loïc; Fromentin, Jean
1
2017
A theory of pictures for quasi-posets. Zbl 1387.06003
Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric
1
2017
Deformations of shuffles and quasi-shuffles. Zbl 1347.05243
Foissy, Loïc; Patras, Frédéric; Thibon, Jean-Yves
7
2016
Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions. Zbl 1390.16032
Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric
6
2016
The Hopf algebra of Fliess operators and its dual pre-Lie algebra. Zbl 1333.16036
Foissy, Loïc
8
2015
The Hopf algebra of finite topologies and \(T\)-partitions. Zbl 1344.16031
Foissy, Loïc; Malvenuto, Claudia
7
2015
A pre-Lie algebra associated to a linear endomorphism and related algebraic structures. Zbl 1362.17036
Foissy, Loïc
3
2015
Pre-Lie algebras and systems of Dyson-Schwinger equations. Zbl 1354.81041
Foissy, Loïc
2
2015
Polynomial realizations of some combinatorial Hopf algebras. Zbl 1290.05153
Foissy, Loïc; Novelli, Jean-Christophe; Thibon, Jean-Yves
5
2014
General Dyson-Schwinger equations and systems. Zbl 1341.81022
Foissy, Loïc
4
2014
A combinatorial non-commutative Hopf algebra of graphs. Zbl 1294.05090
Duchamp, Gérard H. E.; Foissy, Loïc; Hoang-Nghia, Nguyen; Manchon, Dominique; Tanasa, Adrian
3
2014
Deformation of the Hopf algebra of plane posets. Zbl 1294.16024
Foissy, Loïc
2
2014
Ordered forests, permutations, and iterated integrals. Zbl 1331.16026
Foissy, Loïc; Unterberger, Jérémie
8
2013
Natural endomorphisms of shuffle algebras. Zbl 1298.16021
Foissy, Loïc; Patras, Frédéric
8
2013
Plane posets, special posets, and permutations. Zbl 1296.06003
Foissy, L.
7
2013
Algebraic structures on double and plane posets. Zbl 1276.06002
Foissy, Loïc
7
2013
Ordered forests and parking functions. Zbl 1242.16031
Foissy, Loïc
5
2012
Free and cofree Hopf algebras. Zbl 1241.16021
Foissy, L.
4
2012
Lie algebras associated to systems of Dyson-Schwinger equations. Zbl 1231.16030
Foissy, Loïc
4
2011
Primitive elements of the Hopf algebra of free quasi-symmetric functions. Zbl 1222.16025
Foissy, L.
1
2011
Classification of systems of Dyson-Schwinger equations in the Hopf algebra of decorated rooted trees. Zbl 1234.16024
Foissy, Loïc
10
2010
The infinitesimal Hopf algebra and the operads of planar forests. Zbl 1226.18012
Foissy, Loïc
4
2010
Hopf subalgebras of rooted trees from Dyson-Schwinger equations. Zbl 1242.16030
Foissy, Loïc
3
2010
Free brace algebras are free pre-Lie algebras. Zbl 1209.17002
Foissy, Loïc
3
2010
The infinitesimal Hopf algebra and the poset of planar forests. Zbl 1192.16033
Foissy, L.
10
2009
The Poisson trace group of certain algebras of invariants. Zbl 1287.17043
Alev, Jacques; Foissy, Loïc
5
2009
Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations. Zbl 1158.16020
Foissy, Loïc
26
2008
Bidendriform bialgebras, trees, and free quasi-symmetric functions. Zbl 1123.16030
Foissy, Loïc
31
2007
Study of the double Lie algebra of decorated rooted trees. Zbl 1171.16020
Foissy, L.
1
2007
Quantizations of Hopf algebras of decorated planar trees and connection with quantum groups. Zbl 1042.16023
Foissy, L.
1
2003
The Hopf algebras of decorated rooted trees. I. Zbl 1013.16026
Foissy, L.
54
2002
The Hopf algebras of decorated rooted trees. II. Zbl 1013.16027
Foissy, L.
46
2002
Finite dimensional comodules over the Hopf algebra of rooted trees. Zbl 1017.16031
Foissy, L.
22
2002
all top 5

Cited by 155 Authors

29 Foissy, Loïc
17 Ebrahimi-Fard, Kurusch
13 Manchon, Dominique
13 Patras, Frédéric
7 Gao, Xing
7 Shojaei-Fard, Ali
6 Novelli, Jean-Christophe
6 Thibon, Jean-Yves
5 Belhaj Mohamed, Mohamed
5 Bultel, Jean-Paul
5 Giraudo, Samuele
5 Gray, W. Steven
5 Guo, Li
5 Unterberger, Jérémie M.
4 Bai, Chengming
4 Malvenuto, Claudia
4 Mansuy, Anthony
4 Menous, Frédéric
3 Clavier, Pierre J.
3 Espinosa, Luis A. Duffaut
3 Fauvet, Frédéric
3 Kock, Joachim
3 Luo, Yan Feng
3 Saïdi, Abdellatif
3 Zhao, Wenhua
2 Aguiar, Marcelo
2 Bonnafé, Cédric
2 Brouder, Christian
2 Bruned, Yvain
2 Chevyrev, Ilya
2 Duchamp, Gerard Henry Edmond
2 Frabetti, Alessandra
2 Gavarini, Fabio
2 Kreimer, Dirk
2 Li, Yu
2 Livernet, Muriel
2 Magnen, Jacques
2 Mammez, Cécile
2 Maurice, Rémi
2 Mo, Qiuhui
2 Ondrus, Matthew
2 Paycha, Sylvie
2 Sauzin, David
2 Schedler, Travis
2 Sottile, Frank
2 Szczesny, Matthew
2 Turaev, Vladimir G.
2 Wang, Xiaomeng
2 Wiesner, Emilie B.
2 Zhang, Bin
2 Zhao, Xiangui
1 Belinschi, Serban Teodor
1 Blessenohl, Dieter
1 Boedihardjo, Horatio
1 Borinsky, Michael
1 Bouillot, Olivier
1 Bozejko, Marek
1 Burgunder, Emily
1 Butin, Frédéric
1 Calaque, Damien
1 Calderón Martín, Antonio Jesús
1 Chapoton, Frédéric
1 Chappell, Thomas
1 Chatbouri, Ridha
1 Cheballah, Hayat
1 Chen, Dan
1 Colmenarejo, Laura
1 Curry, Charles
1 Dahmen, Rafael
1 Delcroix-Oger, Bérénice
1 Dimakis, Aristophanes
1 Dotsenko, Vladimir Viktorovich
1 Etingof, Pavel Il’ich
1 Figueroa, Héctor
1 Friedl, Tobias
1 Friz, Peter Karl
1 Gálvez-Carrillo, Imma
1 Gan, Wee Liang
1 Gracia-Bondía, José M.
1 Grinberg, Darij
1 Gubinelli, Massimiliano
1 Guin, Daniel
1 Hairer, Martin
1 Hamilton, Alastair
1 Hihn, Markus
1 Hoang-Nghia, Nguyen
1 Hoffman, Michael E.
1 Hou, Dongping
1 Houndedji, Gbêvèwou Damien
1 Hounkonnou, Mahouton Norbert
1 Kemper, Gregor
1 Kißler, Henry
1 Krähmer, Ulrich
1 Krajewski, Thomas
1 Krüger, Olaf
1 Launois, Stéphane
1 Law, Shirley
1 Lehner, Franz
1 Li, Guo
1 Li, Yong
...and 55 more Authors
all top 5

Cited in 64 Serials

17 Journal of Algebra
12 Advances in Mathematics
12 Journal of Algebraic Combinatorics
10 Communications in Algebra
8 Journal of Pure and Applied Algebra
7 Letters in Mathematical Physics
7 Advances in Applied Mathematics
6 Journal of Mathematical Physics
5 Communications in Mathematical Physics
4 Journal of Combinatorial Theory. Series A
4 Bulletin des Sciences Mathématiques
4 Journal of Algebra and its Applications
3 International Journal of Modern Physics A
3 International Journal of Algebra and Computation
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Noncommutative Geometry
2 Discrete Mathematics
2 Annales de l’Institut Fourier
2 Journal of Differential Equations
2 European Journal of Combinatorics
2 Systems & Control Letters
2 Annales Mathématiques Blaise Pascal
2 Séminaire Lotharingien de Combinatoire
2 Annales Henri Poincaré
2 Foundations of Computational Mathematics
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 Physics Reports
1 Reviews in Mathematical Physics
1 Journal of Geometry and 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 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 Algebra Colloquium
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Opuscula Mathematica
1 Journal of Mathematical Chemistry
1 Mathematical Physics, Analysis and Geometry
1 Algebras and Representation Theory
1 International Journal of Geometric Methods in Modern Physics
1 Mathematics in Computer Science
1 Frontiers of Mathematics in China
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of \(K\)-Theory
1 Advances in Pure and Applied Mathematics
1 Algebra
1 Quantum Studies: Mathematics and Foundations

Citations by Year