Loïc Foissy
- Grade : Professeur
- Equipe : Algèbre
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS 80699
62228 Calais - Bureau : C124
- Email : Loic.Foissy@univ-littoral.fr
- Téléphone : 03.21.46.55.92
- Page personnelle : http://loic.foissy.free.fr/pageperso/accueil.html
Publications
Articles de revues
- A divisibility result in combinatorics of generalized braids (), In J. Combin. Theory Ser. A, volume 152, 190-224, 2017.
- The Hopf algebra of finite topologies and mould composition (), In Ann. Inst. Fourier (Grenoble), volume 67, 911-945, 2017.
- A theory of pictures for quasi-posets (), In J. Algebra, volume 477, 496-515, 2017.
- Deformations of shuffles and quasi-shuffles (), In Ann. Inst. Fourier (Grenoble), volume 66, 209-237, 2016.
- Infinitesimal and $B_\infty$-algebras, finite spaces, and quasi-symmetric functions (), In J. Pure Appl. Algebra, volume 220, 2434-2458, 2016.
- A pre-Lie algebra associated to a linear endomorphism and related algebraic structures (), In Eur. J. Math., volume 1, 78-121, 2015.
- The Hopf algebra of Fliess operators and its dual pre-Lie algebra (), In Comm. Algebra, volume 43, 4528-4552, 2015.
- The Hopf algebra of finite topologies and $T$-partitions (), In J. Algebra, volume 438, 130-169, 2015.
- Polynomial realizations of some combinatorial Hopf algebras (), In J. Noncommut. Geom., volume 8, 141-162, 2014.
- A combinatorial non-commutative Hopf algebra of graphs (), In Discrete Math. Theor. Comput. Sci., volume 16, 355-370, 2014.
- Bruhat order on plane posets and applications (), In J. Combin. Theory Ser. A, volume 126, 1-23, 2014.
- General Dyson-Schwinger equations and systems (), In Comm. Math. Phys., volume 327, 151-179, 2014.
- Deformation of the Hopf algebra of plane posets (), In European J. Combin., volume 38, 36-60, 2014.
- Natural endomorphisms of shuffle algebras (), In Internat. J. Algebra Comput., volume 23, 989-1009, 2013.
- Plane posets, special posets, and permutations (), In Adv. Math., volume 240, 24-60, 2013.
- Ordered forests, permutations, and iterated integrals (), In Int. Math. Res. Not. IMRN, 846-885, 2013.
- Algebraic structures on double and plane posets (), In J. Algebraic Combin., volume 37, 39-66, 2013.
- Ordered forests and parking functions (), In Int. Math. Res. Not. IMRN, 1603-1633, 2012.
- Free and cofree Hopf algebras (), In J. Pure Appl. Algebra, volume 216, 480-494, 2012.
- Lie algebras associated to systems of Dyson-Schwinger equations (), In Adv. Math., volume 226, 4702-4730, 2011.
- Free brace algebras are free pre-Lie algebras (), In Comm. Algebra, volume 38, 3358-3369, 2010.
- Classification of systems of Dyson-Schwinger equations of the Hopf algebra of decorated rooted trees (), In Adv. Math., volume 224, 2094-2150, 2010.
- The infinitesimal Hopf algebra and the operads of planar forests (), In Int. Math. Res. Not. IMRN, 395-435, 2010.
- The infinitesimal Hopf algebra and the poset of planar forests (), In J. Algebraic Combin., volume 30, 277-309, 2009.
- Le groupe des traces de Poisson de certaines algèbres d'invariants (), In Comm. Algebra, volume 37, 368-388, 2009.
- Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations (), In Adv. Math., volume 218, 136-162, 2008.
- Étude de l'algèbre de Lie double des arbres enracinés décorés (), In Adv. Math., volume 208, 877-904, 2007.
- Bidendriform bialgebras, trees, and free quasi-symmetric functions (), In J. Pure Appl. Algebra, volume 209, 439-459, 2007.
- Quantifications des algèbres de Hopf d'arbres plans décorés et lien avec les groupes quantiques (), In Bull. Sci. Math., volume 127, 505-548, 2003.
- Finite-dimensional comodules over the Hopf algebra of rooted trees (), In J. Algebra, volume 255, 89-120, 2002.
- Les algèbres de Hopf des arbres enracinés décorés. II (), In Bull. Sci. Math., volume 126, 249-288, 2002.
- Les algèbres de Hopf des arbres enracinés décorés. I (), In Bull. Sci. Math., volume 126, 193-239, 2002.
Chapitres de livres
- Pre-Lie algebras and systems of Dyson-Schwinger equations (), Chapter in Faà di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series, Eur. Math. Soc., Zürich, volume 21, 9-89, 2015.
- Primitive elements of the Hopf algebra of free quasi-symmetric functions (), Chapter in Combinatorics and physics, Amer. Math. Soc., Providence, RI, volume 539, 79-88, 2011.
- 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, 189-210, 2010.