Pre-Lie Algebras and the Rooted Trees Operad

International Mathematics Research Notices

Volumn 2001, Issue 8, 2001, Pages

  Chapoton, Frédéric ^a   Livernet, Muriel ^b  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

^b UNIVERSITÉ PARIS 13   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008120736     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. [BV] J. M. Boardman and R. M. Vogt, Homotopy Invariant Algebraic Structures on Topological Spaces, Lecture Notes in Math. 347, Springer, Berlin, 1973.
2. [B] C. Brouder, Runge-Kutta methods and renormalization, Eur. Phys. J. D At. Mol. Opt. Phys. 12 (2000), 521-534.
3. [Ch] F. Chapoton, Un endofoncteur de la catégorie des opérades, preprint, 1998.
4. [CK] A. Connes and D. Kreimer, Hopf algebras, renormalization and noncommutative geometry, Comm. Math. Phys. 199 (1998), 203-242.
5. [D] A. Dzhumadildaev, Cohomologies and deformations of right-symmetric algebras, J. Math. Sci. (New York) 93 (1999), 836-876.
6. [G] M. Gerstenhaber, The cohomology structure of an associative ring, Ann. of Math. (2) 78 (1963), 267-288.
7. [GJ] E. Getzler and J. D. S. Jones, Operads, homotopy algebra and iterated integrals for double loop spaces, preprint, http://arXiv.org/abs/hep-th/9403055
8. [GiK] V. Ginzburg and M. Kapranov, Koszul duality for operads, Duke Math. J. 76 (1994), 203-272.
9. [Lo] J.-L. Loday, La renaissance des opérades, Astérisque 237 (1996), 47-74, Séminaire Bourbaki 1994/95, exp. no. 792.
10. [Mat] Y. Matsushima, Affine structures on complex manifolds, Osaka J. Math. 5 (1968), 215-222.
11. [May] J. P. May, The Geometry of Iterated Loop Spaces, Lecture Notes in Math. 271, Springer, Berlin, 1972.
12. [N] A. Nijenhuis, On a class of common properties of some different types of algebras, I, II, Nieuw Arch. Wisk. (3) 17 (1969), 17-46, 87-108.
13. [V] E. B. Vinberg, The theory of homogeneous convex cones (in Russian), Trudy Moskov. Mat. Obshch. 12 (1963) 303-358; English translation in Moscow Math. Soc. 12 (1963), 340-403.
14. [V] E. B. Vinberg, The theory of homogeneous convex cones (in Russian), Trudy Moskov. Mat. Obshch. 12 (1963) 303-358; English translation in Moscow Math. Soc. 12 (1963), 340-403.
15. [W] H. S. Wilf, Generatingfunctionology, 2d ed., Academic Press, Boston, 1994.