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

54 publications

1. A co-preLie structure from chronological loop erasure in graph walks (Foissy L., Giscard P.-L. and Mammez C.), In European Journal of Combinatorics, volume 120, 2024. [url] [doi][hal-lmpa]
2. Typed angularly decorated planar rooted trees and generalized Rota-Baxter algebras (Foissy L. and Peng X.-S.), In J. Algebraic Combin., volume 57, 2023. [url] [doi][hal-lmpa]
3. Sequences of trees and higher-order renormalization group equations (Dugan W. T., Foissy L. and Yeats K.), In J. Math. Phys., volume 64, 2023. [url] [doi][hal-lmpa]
4. The dual of infinitesimal unitary Hopf algebras and planar rooted forests (Wang X., Foissy L. and Gao X.), In Int. Electron. J. Algebra, volume 33, 2023. [url] [doi][hal-lmpa]
5. From non-unitary wheeled PROPs to smooth amplitudes and generalised convolutions (Clavier P. J., Foissy L. and Paycha S.), In Eur. J. Math., volume 8, 2022. [url] [doi][hal-lmpa]
6. Quadri-algebras, preLie algebras, and the Catalan family of Lie idempotents (Foissy L., Menous F., Novelli J.-C. and Thibon J.-Y.), In Algebr. Comb., volume 5, 2022. [url] [doi][hal-lmpa]
7. Enriched pre-Lie operads and freeness theorems (Dotsenko V. and Foissy L.), In J. Comb. Algebra, volume 6, 2022. [url] [doi][hal-lmpa]
8. Algebraic structures on typed decorated rooted trees (Foissy L.), In SIGMA Symmetry Integrability Geom. Methods Appl., volume 17, 2021. [url] [doi][hal-lmpa]
9. Chromatic polynomials and bialgebras of graphs (Foissy L.), In Int. Electron. J. Algebra, volume 30, 2021. [url] [doi][hal-lmpa]
10. Typed binary trees and generalized dendrifom algebras (Foissy L.), In J. Algebra, volume 586, 2021. [url] [doi][hal-lmpa]
11. Lie theory for quasi-shuffle bialgebras (Foissy L. and Patras F.), Chapter in Periods in quantum field theory and arithmetic, Springer, Cham, volume 314, 2020. [url] [doi][hal-lmpa]
12. Free quadri-algebras and dual quadri-algebras (Foissy L.), In Comm. Algebra, volume 48, 2020. [url] [doi][hal-lmpa]
13. Multigraded Dyson-Schwinger systems (Foissy L.), In J. Math. Phys., volume 61, 2020. [url] [doi][hal-lmpa]
14. Surjections as double posets (Foissy L. and Patras F.), In Sém. Lothar. Combin., volume 82, 2020. [hal-lmpa]
15. Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations (Ebrahimi-Fard K., Foissy L., Kock J. and Patras F.), In Adv. Math., volume 369, 2020. [url] [doi][hal-lmpa]
16. Realizations of Hopf algebras of graphs by alphabets (Foissy L.), Chapter in Algebraic combinatorics, resurgence, moulds and applications (CARMA). Vol. 1, EMS Publ. House, Berlin, volume 31, [2020] copyright 2020. [url] [doi][hal-lmpa]
17. Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials (Foissy L.), In Adv. Pure Appl. Math., volume 10, 2019. [url] [doi][hal-lmpa]
18. Extension of the product of a post-Lie algebra and application to the SISO feedback transformation group (Foissy L.), Chapter in Computation and combinatorics in dynamics, stochastics and control, Springer, Cham, volume 13, 2018. [url] [doi][hal-lmpa]
19. Operads of finite posets (Fauvet F., Foissy L. and Manchon D.), In Electron. J. Combin., volume 25, 2018. [url] [doi][hal-lmpa]
20. A divisibility result in combinatorics of generalized braids (Foissy L. and Fromentin J.), In J. Combin. Theory Ser. A, volume 152, 2017. [url] [doi][hal-lmpa]
21. The Hopf algebra of finite topologies and mould composition (Fauvet F., Foissy L. and Manchon D.), In Ann. Inst. Fourier (Grenoble), volume 67, 2017. [url][hal-lmpa]
22. A theory of pictures for quasi-posets (Foissy L., Malvenuto C. and Patras F.), In J. Algebra, volume 477, 2017. [url] [doi][hal-lmpa]
23. Deformations of shuffles and quasi-shuffles (Foissy L., Patras F. and Thibon J.-Y.), In Ann. Inst. Fourier (Grenoble), volume 66, 2016. [url][hal-lmpa]
24. Infinitesimal and $B_\infty$-algebras, finite spaces, and quasi-symmetric functions (Foissy L., Malvenuto C. and Patras F.), In J. Pure Appl. Algebra, volume 220, 2016. [url] [doi][hal-lmpa]
25. A pre-Lie algebra associated to a linear endomorphism and related algebraic structures (Foissy L.), In Eur. J. Math., volume 1, 2015. [url] [doi]
26. Pre-Lie algebras and systems of Dyson-Schwinger equations (Foissy L.), Chapter in Faà di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series, Eur. Math. Soc., Zürich, volume 21, 2015. [url]
27. The Hopf algebra of Fliess operators and its dual pre-Lie algebra (Foissy L.), In Comm. Algebra, volume 43, 2015. [url] [doi][hal-lmpa]
28. The Hopf algebra of finite topologies and $T$-partitions (Foissy L. and Malvenuto C.), In J. Algebra, volume 438, 2015. [url] [doi][hal-lmpa]
29. Polynomial realizations of some combinatorial Hopf algebras (Foissy L., Novelli J.-C. and Thibon J.-Y.), In J. Noncommut. Geom., volume 8, 2014. [url] [doi][hal]
30. A combinatorial non-commutative Hopf algebra of graphs (Duchamp G. H. E., Foissy L., Hoang-Nghia N., Manchon D. and Tanasa A.), In Discrete Math. Theor. Comput. Sci., volume 16, 2014. [hal-lmpa]
31. Bruhat order on plane posets and applications (Foissy L.), In J. Combin. Theory Ser. A, volume 126, 2014. [url] [doi][hal]
32. General Dyson-Schwinger equations and systems (Foissy L.), In Comm. Math. Phys., volume 327, 2014. [url] [doi][hal]
33. Deformation of the Hopf algebra of plane posets (Foissy L.), In European J. Combin., volume 38, 2014. [url] [doi][hal]
34. Natural endomorphisms of shuffle algebras (Foissy L.), In Internat. J. Algebra Comput., volume 23, 2013. [url] [doi][hal]
35. Plane posets, special posets, and permutations (Foissy L.), In Adv. Math., volume 240, 2013. [url] [doi][hal]
36. Ordered forests, permutations, and iterated integrals (Foissy L. and Unterberger, J.), In Int. Math. Res. Not. IMRN, 2013. [url] [doi][hal]
37. Algebraic structures on double and plane posets (Foissy L.), In J. Algebraic Combin., volume 37, 2013. [url] [doi][hal]
38. Ordered forests and parking functions (Foissy L.), In Int. Math. Res. Not. IMRN, 2012. [url] [doi][hal]
39. Free and cofree Hopf algebras (Foissy L.), In J. Pure Appl. Algebra, volume 216, 2012. [url] [doi][hal]
40. Primitive elements of the Hopf algebra of free quasi-symmetric functions (Foissy L.), Chapter in Combinatorics and physics, Amer. Math. Soc., Providence, RI, volume 539, 2011. [url] [doi][hal]
41. Lie algebras associated to systems of Dyson-Schwinger equations (Foissy L.), In Adv. Math., volume 226, 2011. [url] [doi][hal]
42. Hopf subalgebras of rooted trees from Dyson-Schwinger equations (Foissy L.), Chapter in Motives, quantum field theory, and pseudodifferential operators, Amer. Math. Soc., Providence, RI, volume 12, 2010. [url] [doi]
43. Free brace algebras are free pre-Lie algebras (Foissy L.), In Comm. Algebra, volume 38, 2010. [url] [doi][hal]
44. Classification of systems of Dyson-Schwinger equations of the Hopf algebra of decorated rooted trees (Foissy L.), In Adv. Math., volume 224, 2010. [url] [doi][hal-lmpa]
45. The infinitesimal Hopf algebra and the operads of planar forests (Foissy L.), In Int. Math. Res. Not. IMRN, 2010. [url] [doi][hal]
46. The infinitesimal Hopf algebra and the poset of planar forests (Foissy L.), In J. Algebraic Combin., volume 30, 2009. [url] [doi][hal]
47. Le groupe des traces de Poisson de certaines algèbres d'invariants (Alev J. and Foissy L.), In Comm. Algebra, volume 37, 2009. [url] [doi][hal]
48. Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations (Foissy L.), In Adv. Math., volume 218, 2008. [url] [doi][hal]
49. Étude de l'algèbre de Lie double des arbres enracinés décorés (Foissy L.), In Adv. Math., volume 208, 2007. [url] [doi][hal]
50. Bidendriform bialgebras, trees, and free quasi-symmetric functions (Foissy L.), In J. Pure Appl. Algebra, volume 209, 2007. [url] [doi][hal]
51. Quantifications des algèbres de Hopf d'arbres plans décorés et lien avec les groupes quantiques (Foissy L.), In Bull. Sci. Math., volume 127, 2003. [url] [doi][hal]
52. Finite-dimensional comodules over the Hopf algebra of rooted trees (Foissy L.), In J. Algebra, volume 255, 2002. [url] [doi][hal]
53. Les algèbres de Hopf des arbres enracinés décorés. II (Foissy L.), In Bull. Sci. Math., volume 126, 2002. [url] [doi][hal]
54. Les algèbres de Hopf des arbres enracinés décorés. I (Foissy, L.), In Bull. Sci. Math., volume 126, 2002. [url] [doi][hal]