Publications de Jean-Louis Loday (la plupart accessible sur ArXiv / most of them available on ArXiv )

List of publications in pdf format

  • Prépublications / Preprints :

  • 89. Algebras, operads and combinads, preprint 2012, en préparation.

    88. Geometric diagonals for the Stasheff associahedron and  products of A-infinity algebras, preprint 2012, en préparation.

    87. (with N. M. Nikolov)  Operadic construction of the renormalization group,  preprint 20p., (2012).  pdf

    86. Exponential series without denominators, preprint 13p., (2012). pdf

    85. Dichotomy of the addition of natural numbers, in "Associahedra, Tamari Lattices and Related Structures", Tamari Memorial Festschrift,  F. Mueller-Hoissen, J. Pallo and J. Stasheff (Eds.), Progress in Mathematics, vol. 299, Birkhauser, 2012.

    84. (with M. Ronco) Permutads, preprint 24 p., (2011).  pdf

    83. The YY game, preprint 7 p., (2011). pdf

    82. Free loop space and homology, preprint 20 p., (2011). pdf

    Publications / Published papers :

    81. (with B. Vallette) "Algebraic operads", Grundlehren Math. Wiss. 346, Springer, Heidelberg, 2012. Here is version 0.99:  pdf

    80. Some problems in operad theory,  Proc. Int. Conf., in Nankai Series in Pure, Applied Mathematics and Theoretical Physics, Vol. 9 (World Scientific, Singapore, 2012), 139--146.

    79. (with N. Bergeron) The symmetric operation in a free pre-Lie algebra is magmatic, Proc. Amer. Math. Soc. 139-5 (2011), 1585--1597.

    78. (with M. Ronco) Combinatorial Hopf Algebras, Quanta of maths, 347–383, Clay Math. Proc., 11, Amer. Math. Soc., Providence, RI, 2010.

    77. The diagonal of the Stasheff polytope,  Higher structures in geometry and physics, 269–292, Progr. Math., 287, Birkhäuser/Springer, New York, 2011.

    76. (with M. Wodzicki) Cyclic homology theory, Lecture notes on noncommutative geometry and quantum groups, European Mathematical Society Publishing House, ed. Piotr M. Hajac, to appear. pdf

    75. On the operad of associative algebras with derivation, Georgian Mathematical Journal 17, no 2, (2010), 347--372.

    74. (with T. Popov) Parastatistics Algebra, Young Tableaux and the Super Plactic Monoid, Int. J. Geom. Methods Mod. Phys. 5 (2008), no. 8, 1295--1314.

    73. Generalized bialgebras and triples of operads, Astérisque No. 320 (2008), x+116 pp.

    72. (with T. Popov) Parastatistics algebra and super semistandard Young tableaux, Proceedings of "Lie theory and its Applications in Physics", Varna 2007. VI.Dobrev and al. eds., Heron Press, Sofia (2008), 423--430.

    71. (with R. Holtkamp and M. Ronco)   Coassociative magmatic bialgebras and the Fine numbers, J. Alg. Comb. 28 no 1 (2008), 97--114.

    70.  Théorème de structure pour les bigèbres généralisées,  Notes d'exposé, pdf (2007).

    69. Parking functions and triangulation of the associahedron, Proceedings of the Street's fest 2006, Contemp. Math. AMS 431 (2007), 327--340.

    68. On the algebra of quasi-shuffles, Manuscripta Mathematica 123, no1, (2007), 79--93.
    Corrigendum

    67. Completing the operadic butterfly, Georgian Math. Journal 13 (2006), no 4, 741--749.

    66. (with I. Dokas) On restricted Leibniz algebras, Comm. Algebra 34, no 12, (2006), 4467--4478.

    65. (with M. O. Ronco) On the structure of cofree Hopf algebras, J. reine angew. Math. 595 (2006), 123--155.

    64. Les multiples facettes de l'associaèdre (Exposé de vulgarisation), preprint, January 2005, version en pdf The Multiple facets of the associahedron (english version) version en pdf , Clay Mathematics Institute Publication.

    63. Inversion of integral series enumerating planar trees, Séminaire lotharingien de combinatoire B 53d (2005), 16pp.

    62. (with M. R. Stein) Parametrized braid groups of Chevalley groups, Documenta Mathematica 10 (2005), 391--416.

    61. (with M. O. Ronco) Algèbres de Hopf colibres, C. R. Acad. Sci. Paris t. 337, Sér. I (2003), 153 -158.

    60. (with M. Aguiar) Quadri-algebras, J. Pure Applied Algebra 191 (2004), 205--221.

    59. Algebraic K-theory and the conjectural Leibniz K-theory, K-theory (2003), 105--127.

    58. Scindement d'associativité et algèbres de Hopf, Séminaire et Congrès (SMF) 9 (2004), 155--172.

    57. (with M. R. Stein) Parametrized braid groups of Chevalley groups, Documenta Mathematica 10 (2005), 391--416.

    56. Realization of the Stasheff polytope, Archiv der Mathematik 83 (2004), 267--278.

    55. (with M. O. Ronco) Trialgebras and families of polytopes, with M.O. Ronco, Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic K-theory, Contemporary Mathematics 346, (2004), AMS.

    54. Arithmetree, Journal of Algebra 258 (2002), 275-309.

    53. (avec M. O. Ronco) Une dualité entre simplexes standards et polytopes de Stasheff, C. R. Acad. Sci. Paris t. 333, Sér. I (2001), 81 -86.

    52. (with M. Ronco) Order structure and the algebra of permutations and of planar binary trees, J. Alg. Comb. 15(3), (2002), 253-270.

    51. Des mammouths à la K-théorie algébrique (Notes d'exposé) 2000, (7 pages). postscript file

    50. (with J.M. Casas and T. Pirashvili) Leibniz n-algebras, Forum Mathematicum 14 (2002), 189-207.

    49. Homotopical syzygies, in "Une d\'egustation topologique: Homotopy theory in the Swiss Alps", Contemporary Mathematics no 265 (AMS) (2000), 99-127. postscript file (32 pages).

    48. Notes on Koszul duality for associative algebras, 1999 (11 pages), dvi , ps .

    47. Dialgebras, in "Dialgebras and related operads", Springer Lecture Notes in Math. 1763 (2001), 7-66. dvi , postscript

    46. Hochschild and cyclic homology : résumé and variations. Proceedings of the Workshop and symposium ``Algebraic $K$-theory and its applications", ICTP Trieste 1997, World Scientific (1999), 234--254.

    45. (with M. Ronco) Hopf algebra of the planar binary trees. Adv. in Maths 139 (1998), 293--309.

    44. (with T. Pirashvili) The tensor category of linear maps and Leibniz algebras. Georgian Math. J. 5 (1998), 263-276.

    43. (with T. Pirashvili) Mac Lane (co)homology. Chapter 13 of the second edition of ``Cyclic Homology" Grund. math. Wiss., 301. Springer, Berlin, 1998.

    42. Overview on Leibniz algebras, dialgebras and their homology. Fields Inst. Commun. 17 (1997), 91--102.

    41. From diffeomorphism groups to loop spaces via cyclic homology, Proc. Summer School "Quantum symmetries" , Les Houches 1995, session LXIV. NATO Advanced Study series (1998), 727--755.

    40. La renaissance des opérades. Séminaire Bourbaki, Vol. 1994/95. Astérisque No. 237 (1996), Exp. No. 792, 3, 47--74.  pdf

    39. (with T. Pirashvili) Leibniz representations of Lie algebras. J. Algebra 181 (1996), no. 2, 414--425.

    38. K\" unneth-style formula for the homology of Leibniz algebras. Math. Z. 221 (1996), no. 1, 41--47.

    37. Cup-product for Leibniz cohomology and dual Leibniz algebras. Math. Scand. 77 (1995), no. 2, 189--196.

    36. Algèbres ayant deux opérations associatives (digèbres). C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 2, 141--146.

    35. Série de Hausdorff, idempotents eulériens et algèbres de Hopf. Exposition. Math. 12 (1994), no. 2, 165--178.

    34. Une version non commutative des algèbres de Lie: les algèbres de Leibniz. Enseign. Math. (2) 39 (1993), no. 3-4, 269--293.

    33. (with T. Pirashvili) Universal enveloping algebras of Leibniz algebras and (co)homology. Math. Ann. 296 (1993), no. 1, 139--158.

    32. "Cyclic homology". Grundlehren der mathematischen Wissenschaften, 301. Springer-Verlag, Berlin, 1992. Second edition (with one more chapter) 1998 (513 p.). HC

    31. Excision en $K$-théorie algébrique, d'après A. Suslin et M. Wodzicki. Séminaire Bourbaki, Vol. 1991/92. Astérisque No. 206 (1992), Exp. No. 752, 4, 251--271.

    30. Introduction to algebraic $K$-theory and cyclic homology,in ``Higher algebraic $K$-theory: an overview", Lecture Notes in Mathematics, 1491. Springer-Verlag, Berlin, (1992), 31--54.

    29. (with Z. Fiedorowicz) Crossed simplicial groups and their associated homology. Trans. Amer. Math. Soc. 326 (1991), no. 1, 57--87.

    28. (with C. Procesi) Cyclic homology and lambda operations. Algebraic $K$-theory: connections with geometry and topology (Lake Louise, AB, 1987), 209--224, NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., 279, Kluwer Acad. Publ., Dordrecht, 1989.

    27. Opérations sur l'homologie cyclique des algèbres commutatives. Invent. Math. 96 (1989), no. 1, 205--230.

    26. (with C. Procesi) Homology of symplectic and orthogonal algebras. Adv. in Math. 69 (1988), no. 1, 93--108.

    25. Partition eulérienne et opérations en homologie cyclique. C. R. Acad. Sci. Paris Sér. I Math. 307 (1988), no. 7, 283--286.

    24. Comparaison des homologies du groupe linéaire et de son algèbre de Lie. Ann. Inst. Fourier (Grenoble) 37 (1987), no. 4, 167--190.

    23. Homologies diédrale et quaternionique. Adv. in Math. 66 (1987), no. 2, 119--148.

    22. (with Ronald Brown) Van Kampen theorems for diagrams of spaces. Topology 26 (1987), no. 3, 311--335.

    21. (with Ronald Brown) Homotopical excision, and Hurewicz theorems for $n$-cubes of spaces. Proc. London Math. Soc. (3) 54 (1987), no. 1, 176--192.

    20. Cyclic homology, a survey. Geometric and algebraic topology, 281--303, Banach Center Publ., 18, PWN, Warsaw, 1986.

    19. (with D. Quillen) Cyclic homology and the Lie algebra homology of matrices. Comment. Math. Helv. 59 (1984), no. 4, 569--591.

    18. (with Ronald Brown) Excision homotopique en basse dimension. C. R. Acad. Sci. Paris Sér. I Math. 298 (1984), no. 15, 353--356.

    17. (with Chr. Kassel) Extensions centrales d'algèbres de Lie. Ann. Inst. Fourier (Grenoble) 32 (1982), no. 4, 119--142.

    16. (with D. Quillen) Homologie cyclique et homologie de l'algèbre de Lie des matrices.  C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), no. 6, 295--297.

    15. Sur l'homologie de l'algèbre de Lie des matrices, Preprint IRMA (Strasbourg) 115, (1982), 5 p.

    14. Spaces with finitely many nontrivial homotopy groups.  J. Pure Appl. Algebra 24 (1982), no. 2, 179--202.

    13. On the boundary map $K\sb{3}(\Lambda /I)\rightarrow K\sb{2}(\Lambda ,\,I)$. Algebraic $K$-theory, Evanston 1980 (Proc. Conf., Northwestern Univ., Evanston, Ill., 1980), pp. 262--268, Lecture Notes in Math., 854, Springer, Berlin, 1981.

    12. (with D. Guin-Waléry) Obstruction ˆ l'excision en $K$-théorie algébrique. Algebraic $K$-theory, Evanston 1980 (Proc. Conf., Northwestern Univ., Evanston, Ill., 1980), pp. 179--216, Lecture Notes in Math., 854, Springer, Berlin, 1981.

    11. Symboles en $K$-théorie algébrique supérieure. C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 18, 863--866.

    10. Homotopie des espaces de concordances d'après F. Waldhausen. Séminaire Bourbaki, 30e année (1977/78), Exp. No. 516, pp. 187--205, Lecture Notes in Math., 710, Springer, Berlin, 1979.

    9. Cohomologie et groupe de Steinberg relatifs. J. Algebra 54 (1978), no. 1, 178--202.

    8. Les matrices monomiales et le groupe de Whitehead ${\rm Wh}_{2}$. Algebraic $K$-theory (Proc. Conf., Northwestern Univ., Evanston, Ill., 1976), pp. 155--163. Lecture Notes in Math., Vol. 551, Springer, Berlin, 1976.

    7. Higher Witt groups: a survey. Algebraic $K$-theory (Proc. Conf., Northwestern Univ., Evanston, Ill., 1976), pp. 311--335. Lecture Notes in Math., Vol. 551, Springer, Berlin, 1976.

    6. $K$-théorie algébrique et représentations de groupes. Ann. Sci. école Norm. Sup. (4) 9 (1976), no. 3, 309--377.

    5. Higher Whitehead groups and stable homotopy. Bull. Amer. Math. Soc. 82 (1976), no. 1, 134--136.

    4. Structure multiplicative en $K$-théorie algébrique. C. R. Acad. Sci. Paris Sér. A 279 (1974), 321--324.

    3. Applications algébriques du tore dans la sphère et de $S^p\times S^q$ dans $S^{p+q}$. Algebraic $K$-theory, II: "Classical" algebraic $K$-theory and connections with arithmetic (Proc. Conf., Seattle Res. Center, Battelle Memorial Inst., 1972), pp. 79--91. Lecture Notes in Mathematics, Vol. 342, Springer, Berlin, 1973.

    2. Structures multiplicatives en $K$-théorie. C. R. Acad. Sci. Paris Sér. A-B 274 (1972), 884--887.

    1. Applications algébriques du tore dans la sphère. C. R. Acad. Sci. Paris Sér. A-B 272 (1971), 578--581.



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