L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

Loïc Foissy

Publications

Articles de revues

  1. A divisibility result in combinatorics of generalized braids ( and ), In J. Combin. Theory Ser. A, volume 152, 190-224, . [pdf]
  2. The Hopf algebra of finite topologies and mould composition (, and ), In Ann. Inst. Fourier (Grenoble), volume 67, 911-945, . [pdf]
  3. A theory of pictures for quasi-posets (, and ), In J. Algebra, volume 477, 496-515, . [pdf]
  4. Deformations of shuffles and quasi-shuffles (, and ), In Ann. Inst. Fourier (Grenoble), volume 66, 209-237, . [pdf]
  5. Infinitesimal and $B_\infty$-algebras, finite spaces, and quasi-symmetric functions (, and ), In J. Pure Appl. Algebra, volume 220, 2434-2458, . [pdf]
  6. A pre-Lie algebra associated to a linear endomorphism and related algebraic structures (), In Eur. J. Math., volume 1, 78-121, . [pdf]
  7. The Hopf algebra of Fliess operators and its dual pre-Lie algebra (), In Comm. Algebra, volume 43, 4528-4552, . [pdf]
  8. The Hopf algebra of finite topologies and $T$-partitions ( and ), In J. Algebra, volume 438, 130-169, . [pdf]
  9. Polynomial realizations of some combinatorial Hopf algebras (, and ), In J. Noncommut. Geom., volume 8, 141-162, . [pdf]
  10. A combinatorial non-commutative Hopf algebra of graphs (, , , and ), In Discrete Math. Theor. Comput. Sci., volume 16, 355-370, .
  11. Bruhat order on plane posets and applications (), In J. Combin. Theory Ser. A, volume 126, 1-23, . [pdf]
  12. General Dyson-Schwinger equations and systems (), In Comm. Math. Phys., volume 327, 151-179, . [pdf]
  13. Deformation of the Hopf algebra of plane posets (), In European J. Combin., volume 38, 36-60, . [pdf]
  14. Natural endomorphisms of shuffle algebras ( and ), In Internat. J. Algebra Comput., volume 23, 989-1009, . [pdf]
  15. Plane posets, special posets, and permutations (), In Adv. Math., volume 240, 24-60, . [pdf]
  16. Ordered forests, permutations, and iterated integrals ( and ), In Int. Math. Res. Not. IMRN, 846-885, . [pdf]
  17. Algebraic structures on double and plane posets (), In J. Algebraic Combin., volume 37, 39-66, . [pdf]
  18. Ordered forests and parking functions (), In Int. Math. Res. Not. IMRN, 1603-1633, . [pdf]
  19. Free and cofree Hopf algebras (), In J. Pure Appl. Algebra, volume 216, 480-494, . [pdf]
  20. Lie algebras associated to systems of Dyson-Schwinger equations (), In Adv. Math., volume 226, 4702-4730, . [pdf]
  21. Free brace algebras are free pre-Lie algebras (), In Comm. Algebra, volume 38, 3358-3369, . [pdf]
  22. Classification of systems of Dyson-Schwinger equations of the Hopf algebra of decorated rooted trees (), In Adv. Math., volume 224, 2094-2150, . [pdf]
  23. The infinitesimal Hopf algebra and the operads of planar forests (), In Int. Math. Res. Not. IMRN, 395-435, . [pdf]
  24. The infinitesimal Hopf algebra and the poset of planar forests (), In J. Algebraic Combin., volume 30, 277-309, . [pdf]
  25. Le groupe des traces de Poisson de certaines algèbres d'invariants ( and ), In Comm. Algebra, volume 37, 368-388, . [pdf]
  26. Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations (), In Adv. Math., volume 218, 136-162, . [pdf]
  27. Étude de l'algèbre de Lie double des arbres enracinés décorés (), In Adv. Math., volume 208, 877-904, . [pdf]
  28. Bidendriform bialgebras, trees, and free quasi-symmetric functions (), In J. Pure Appl. Algebra, volume 209, 439-459, . [pdf]
  29. Quantifications des algèbres de Hopf d'arbres plans décorés et lien avec les groupes quantiques (), In Bull. Sci. Math., volume 127, 505-548, . [pdf]
  30. Finite-dimensional comodules over the Hopf algebra of rooted trees (), In J. Algebra, volume 255, 89-120, . [pdf]
  31. Les algèbres de Hopf des arbres enracinés décorés. II (), In Bull. Sci. Math., volume 126, 249-288, . [pdf]
  32. Les algèbres de Hopf des arbres enracinés décorés. I (), In Bull. Sci. Math., volume 126, 193-239, . [pdf]

Chapitres de livres

  1. 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, .
  2. 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, . [pdf]
  3. 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, .

Agenda