Loïc FOISSY
- Professeur au LMPA
- Équipe : Algèbre, Dynamique et Arithmétique (ADA)
- Email : Loic.Foissy@univ-littoral.fr
- Page internet : http://loic.foissy.free.fr/pageperso/accueil.html
- Laboratoire de Mathématiques Pure et Appliquées
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue Ferdinand Buisson
CS 80699
62228 CALAIS Cedex France - Bureau : C124
- Téléphone : +33 3 21 46 55 92
- Adresse :
Directeur du département de mathématiques
46 publications 
- Typed binary trees and generalized dendrifom algebras ( ), In J. Algebra, volume 586, 2021. [hal-lmpa]
- Chromatic polynomials and bialgebras of graphs ( ), In Int. Electron. J. Algebra, volume 30, 2021. [hal-lmpa]
- Algebraic structures on typed decorated rooted trees ( ), In SIGMA Symmetry Integrability Geom. Methods Appl., volume 17, 2021. [hal-lmpa]
- Free quadri-algebras and dual quadri-algebras (), In Comm. Algebra, volume 48, 2020. [hal-lmpa]
- Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations ( ), In Adv. Math., volume 369, 2020. [hal-lmpa]
- Lie theory for quasi-shuffle bialgebras ( ), Chapter in Periods in quantum field theory and arithmetic, Springer, Cham, volume 314, 2020. [hal-lmpa]
- Multigraded Dyson-Schwinger systems (), In J. Math. Phys., volume 61, 2020.
- Surjections as double posets ( ), In S'em. Lothar. Combin., volume 82, 2020. [hal-lmpa]
- Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials (), In Adv. Pure Appl. Math., volume 10, 2019. [hal-lmpa]
- Extension of the product of a post-Lie algebra and application to the SISO feedback transformation group (), Chapter in Computation and combinatorics in dynamics, stochastics and control, Springer, Cham, volume 13, 2018. [hal-lmpa]
- Operads of finite posets ( ), In Electron. J. Combin., volume 25, 2018. [hal-lmpa]
- A theory of pictures for quasi-posets ( ), In J. Algebra, volume 477, 2017. [hal-lmpa]
- A divisibility result in combinatorics of generalized braids ( ), In J. Combin. Theory Ser. A, volume 152, 2017. [hal-lmpa]
- The Hopf algebra of finite topologies and mould composition ( ), In Ann. Inst. Fourier (Grenoble), volume 67, 2017. [hal]
- Deformations of shuffles and quasi-shuffles ( ), In Ann. Inst. Fourier (Grenoble), volume 66, 2016. [hal-lmpa]
- Infinitesimal and $B_\infty$-algebras, finite spaces, and quasi-symmetric functions ( ), In J. Pure Appl. Algebra, volume 220, 2016. [hal-lmpa]
- Pre-Lie algebras and systems of Dyson-Schwinger equations (), Chapter in Fa`a di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series, Eur. Math. Soc., Z"urich, volume 21, 2015.
- A pre-Lie algebra associated to a linear endomorphism and related algebraic structures ( ), In Eur. J. Math., volume 1, 2015.
- The Hopf algebra of Fliess operators and its dual pre-Lie algebra ( ), In Comm. Algebra, volume 43, 2015. [hal-lmpa]
- The Hopf algebra of finite topologies and $T$-partitions ( ), In J. Algebra, volume 438, 2015. [hal-lmpa]
- A combinatorial non-commutative Hopf algebra of graphs ( ), In Discrete Math. Theor. Comput. Sci., volume 16, 2014. [hal-lmpa]
- Deformation of the Hopf algebra of plane posets ( ), In European J. Combin., volume 38, 2014. [hal]
- Polynomial realizations of some combinatorial Hopf algebras ( ), In J. Noncommut. Geom., volume 8, 2014. [hal]
- Bruhat order on plane posets and applications ( ), In J. Combin. Theory Ser. A, volume 126, 2014. [hal]
- General Dyson-Schwinger equations and systems ( ), In Comm. Math. Phys., volume 327, 2014. [hal]
- Natural endomorphisms of shuffle algebras ( ), In Internat. J. Algebra Comput., volume 23, 2013. [hal]
- Plane posets, special posets, and permutations ( ), In Adv. Math., volume 240, 2013. [hal]
- Ordered forests, permutations, and iterated integrals ( ), In Int. Math. Res. Not. IMRN, 2013. [hal]
- Algebraic structures on double and plane posets ( ), In J. Algebraic Combin., volume 37, 2013. [hal]
- Free and cofree Hopf algebras ( ), In J. Pure Appl. Algebra, volume 216, 2012. [hal]
- Ordered forests and parking functions ( ), In Int. Math. Res. Not. IMRN, 2012. [hal]
- Lie algebras associated to systems of Dyson-Schwinger equations ( ), In Adv. Math., volume 226, 2011. [hal-lmpa]
- Primitive elements of the Hopf algebra of free quasi-symmetric functions ( ), Chapter in Combinatorics and physics, Amer. Math. Soc., Providence, RI, volume 539, 2011. [hal-lmpa]
- Hopf subalgebras of rooted trees from Dyson-Schwinger equations ( ), Chapter in Motives, quantum field theory, and pseudodifferential operators, Amer. Math. Soc., Providence, RI, volume 12, 2010.
- Free brace algebras are free pre-Lie algebras ( ), In Comm. Algebra, volume 38, 2010. [hal]
- Classification of systems of Dyson-Schwinger equations of the Hopf algebra of decorated rooted trees ( ), In Adv. Math., volume 224, 2010. [hal-lmpa]
- The infinitesimal Hopf algebra and the operads of planar forests ( ), In Int. Math. Res. Not. IMRN, 2010. [hal]
- The infinitesimal Hopf algebra and the poset of planar forests ( ), In J. Algebraic Combin., volume 30, 2009. [hal]
- Le groupe des traces de Poisson de certaines algèbres d'invariants ( ), In Comm. Algebra, volume 37, 2009. [hal]
- Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations ( ), In Adv. Math., volume 218, 2008. [hal]
- Étude de l'algèbre de Lie double des arbres enracinés décorés ( ), In Adv. Math., volume 208, 2007. [hal]
- Bidendriform bialgebras, trees, and free quasi-symmetric functions ( ), In J. Pure Appl. Algebra, volume 209, 2007. [hal]
- Quantifications des algèbres de Hopf d'arbres plans décorés et lien avec les groupes quantiques ( ), In Bull. Sci. Math., volume 127, 2003. [hal-lmpa]
- Finite-dimensional comodules over the Hopf algebra of rooted trees ( ), In J. Algebra, volume 255, 2002. [hal]
- Les algèbres de Hopf des arbres enracinés décorés. II ( ), In Bull. Sci. Math., volume 126, 2002. [hal-lmpa]
- Les algèbres de Hopf des arbres enracinés décorés. I ( ), In Bull. Sci. Math., volume 126, 2002. [hal-lmpa]