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Author ID: foissy.loic Recent zbMATH articles by "Foissy, Loïc"
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

Publications by Year

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 1013.16026
Foissy, L.
63
2002
The Hopf algebras of decorated rooted trees. II. (Les algèbres de Hopf des arbres enracinés décorés. II.) Zbl 1013.16027
Foissy, L.
55
2002
Bidendriform bialgebras, trees, and free quasi-symmetric functions. Zbl 1123.16030
Foissy, Loïc
35
2007
Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations. Zbl 1158.16020
Foissy, Loïc
27
2008
Finite dimensional comodules over the Hopf algebra of rooted trees. Zbl 1017.16031
Foissy, L.
24
2002
The infinitesimal Hopf algebra and the poset of planar forests. Zbl 1192.16033
Foissy, L.
14
2009
Classification of systems of Dyson-Schwinger equations in the Hopf algebra of decorated rooted trees. Zbl 1234.16024
Foissy, Loïc
13
2010
Deformations of shuffles and quasi-shuffles. (Déformations des algèbres de battages et quasi-battages.) Zbl 1347.05243
Foissy, Loïc; Patras, Frédéric; Thibon, Jean-Yves
9
2016
Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions. Zbl 1390.16032
Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric
9
2016
The Hopf algebra of finite topologies and \(T\)-partitions. Zbl 1344.16031
Foissy, Loïc; Malvenuto, Claudia
9
2015
Natural endomorphisms of shuffle algebras. Zbl 1298.16021
Foissy, Loïc; Patras, Frédéric
9
2013
Ordered forests, permutations, and iterated integrals. Zbl 1331.16026
Foissy, Loïc; Unterberger, Jérémie
8
2013
Plane posets, special posets, and permutations. Zbl 1296.06003
Foissy, L.
8
2013
Algebraic structures on double and plane posets. Zbl 1276.06002
Foissy, Loïc
7
2013
The Hopf algebra of Fliess operators and its dual pre-Lie algebra. Zbl 1333.16036
Foissy, Loïc
7
2015
The infinitesimal Hopf algebra and the operads of planar forests. Zbl 1226.18012
Foissy, Loïc
6
2010
General Dyson-Schwinger equations and systems. Zbl 1341.81022
Foissy, Loïc
6
2014
Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials. Zbl 1407.16032
Foissy, Loïc
6
2019
Ordered forests and parking functions. Zbl 1242.16031
Foissy, Loïc
5
2012
A pre-Lie algebra associated to a linear endomorphism and related algebraic structures. Zbl 1362.17036
Foissy, Loïc
5
2015
Free brace algebras are free pre-Lie algebras. Zbl 1209.17002
Foissy, Loïc
5
2010
The Hopf algebra of finite topologies and mould composition. (Algébre de Hopf des topologies finies et composition moulienne.) Zbl 1431.16036
Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique
5
2017
Free and cofree Hopf algebras. Zbl 1241.16021
Foissy, L.
4
2012
The Poisson trace group of certain algebras of invariants. (Le groupe des traces de Poisson de certaines algèbres d’invariants.) Zbl 1287.17043
Alev, Jacques; Foissy, Loïc
4
2009
Lie algebras associated to systems of Dyson-Schwinger equations. Zbl 1231.16030
Foissy, Loïc
4
2011
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
Polynomial realizations of some combinatorial Hopf algebras. Zbl 1290.05153
Foissy, Loïc; Novelli, Jean-Christophe; Thibon, Jean-Yves
3
2014
Pre-Lie algebras and systems of Dyson-Schwinger equations. Zbl 1354.81041
Foissy, Loïc
2
2015
A theory of pictures for quasi-posets. Zbl 1387.06003
Foissy, 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 1042.16023
Foissy, L.
2
2003
Lie theory for quasi-shuffle bialgebras. Zbl 1464.16026
Foissy, Loïc; Patras, Frédéric
2
2020
Typed binary trees and generalized dendrifom algebras. Zbl 1478.16028
Foissy, Loïc
2
2021
Primitive elements of the Hopf algebra of free quasi-symmetric functions. Zbl 1222.16025
Foissy, L.
1
2011
Deformation of the Hopf algebra of plane posets. Zbl 1294.16024
Foissy, Loïc
1
2014
A divisibility result in combinatorics of generalized braids. Zbl 1369.05213
Foissy, 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 1171.16020
Foissy, L.
1
2007
Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039
Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric
1
2020
Operads of finite posets. Zbl 1391.06003
Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique
1
2018
Multigraded Dyson-Schwinger systems. Zbl 1443.81055
Foissy, Loïc
1
2020
Algebraic structures on typed decorated rooted trees. Zbl 07431225
Foissy, Loïc
1
2021
Typed binary trees and generalized dendrifom algebras. Zbl 1478.16028
Foissy, Loïc
2
2021
Algebraic structures on typed decorated rooted trees. Zbl 07431225
Foissy, Loïc
1
2021
Lie theory for quasi-shuffle bialgebras. Zbl 1464.16026
Foissy, Loïc; Patras, Frédéric
2
2020
Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039
Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric
1
2020
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
6
2019
Operads of finite posets. Zbl 1391.06003
Fauvet, 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 1431.16036
Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique
5
2017
A theory of pictures for quasi-posets. Zbl 1387.06003
Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric
2
2017
A divisibility result in combinatorics of generalized braids. Zbl 1369.05213
Foissy, Loïc; Fromentin, Jean
1
2017
Deformations of shuffles and quasi-shuffles. (Déformations des algèbres de battages et quasi-battages.) Zbl 1347.05243
Foissy, Loïc; Patras, Frédéric; Thibon, Jean-Yves
9
2016
Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions. Zbl 1390.16032
Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric
9
2016
The Hopf algebra of finite topologies and \(T\)-partitions. Zbl 1344.16031
Foissy, Loïc; Malvenuto, Claudia
9
2015
The Hopf algebra of Fliess operators and its dual pre-Lie algebra. Zbl 1333.16036
Foissy, Loïc
7
2015
A pre-Lie algebra associated to a linear endomorphism and related algebraic structures. Zbl 1362.17036
Foissy, Loïc
5
2015
Pre-Lie algebras and systems of Dyson-Schwinger equations. Zbl 1354.81041
Foissy, Loïc
2
2015
General Dyson-Schwinger equations and systems. Zbl 1341.81022
Foissy, Loïc
6
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
Polynomial realizations of some combinatorial Hopf algebras. Zbl 1290.05153
Foissy, Loïc; Novelli, Jean-Christophe; Thibon, Jean-Yves
3
2014
Deformation of the Hopf algebra of plane posets. Zbl 1294.16024
Foissy, Loïc
1
2014
Natural endomorphisms of shuffle algebras. Zbl 1298.16021
Foissy, Loïc; Patras, Frédéric
9
2013
Ordered forests, permutations, and iterated integrals. Zbl 1331.16026
Foissy, Loïc; Unterberger, Jérémie
8
2013
Plane posets, special posets, and permutations. Zbl 1296.06003
Foissy, L.
8
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
13
2010
The infinitesimal Hopf algebra and the operads of planar forests. Zbl 1226.18012
Foissy, Loïc
6
2010
Free brace algebras are free pre-Lie algebras. Zbl 1209.17002
Foissy, Loïc
5
2010
Hopf subalgebras of rooted trees from Dyson-Schwinger equations. Zbl 1242.16030
Foissy, Loïc
3
2010
The infinitesimal Hopf algebra and the poset of planar forests. Zbl 1192.16033
Foissy, L.
14
2009
The Poisson trace group of certain algebras of invariants. (Le groupe des traces de Poisson de certaines algèbres d’invariants.) Zbl 1287.17043
Alev, Jacques; Foissy, Loïc
4
2009
Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations. Zbl 1158.16020
Foissy, Loïc
27
2008
Bidendriform bialgebras, trees, and free quasi-symmetric functions. Zbl 1123.16030
Foissy, 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 1171.16020
Foissy, 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 1042.16023
Foissy, L.
2
2003
The Hopf algebras of decorated rooted trees. I. (Les algèbres de Hopf des arbres enracinés décorés. I.) Zbl 1013.16026
Foissy, L.
63
2002
The Hopf algebras of decorated rooted trees. II. (Les algèbres de Hopf des arbres enracinés décorés. II.) Zbl 1013.16027
Foissy, L.
55
2002
Finite dimensional comodules over the Hopf algebra of rooted trees. Zbl 1017.16031
Foissy, L.
24
2002
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