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Home > Vol 5, No 4 (1996)

Guy Melançon¹ and Christophe Reutenauer²

¹Université de Bordeaux I LABRI, 351, Cours de la Libération 33405 Talence Cedex France 33405 Talence Cedex France
²Université du Québec à Montréal Département de mathématiques C.P. 8888, Succursale Centre-ville H3C 3P8 Montréal Québec Canada C.P. 8888, Succursale Centre-ville H3C 3P8 Montréal Québec Canada

H.Barcelo, “On the action of the symmetric group on the free Lie algebra and the partition lattice,” J. Combin. Th. A 55 (1990), 93-129. H.Barcelo and N.Bergeron, “The Orlik-Solomon algebra on the partition lattice and the free Lie algebra,” J. Combin. Th. A 55 (1990), 80-92. A.Björner, “On the homology of geometric lattices,” Alg. Univ. 14 (1982), 107-128. A.Garsia and D.Stanton, “Group actions on Stanley-Reisner rings and the construction of invariants,” Adv. Math. 51 (1984), 107-201. P.Hanlon, “The fixed point partition lattice,” Pacific J. Math. 96 (1981), 319-341. P.Hanlon and M.Wachs, “On Lie $k$-algebras,” Advances Maths. 113 (1995), 206-236. A.Joyal, “Foncteurs analytiques et espèces de structure,” Lect. Notes Math. 1234 (1985), 126-159. A.A.Klyachko, “Lie elements in the tensor algebra,” Sib. Mat. Zhurnal (translation) 15 (1974), 241-256. G.I.Lehrer and L.Solomon, “On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes,” J. Algebra, 104 (1986), 410-424. I.G.Macdonald, Symmetric Functions and Hall Polynomials, Clarendon Press, Oxford,
1979. G.Melançon and C.Reutenauer, “Une présentation combinatoire de la super-algèbre de Lie libre,” C.R. Acad. Sci. Paris, Sér. I 1315 (1992), 1215-1220. R.Ree, “Generalized Lie elements,” Can. J. Math. 12 (1960), 493-502. R.Stanley, “Some aspects of groups acting on finite posets,” J. Combin. Th. A 32 (1982), 132-161. M. Wachs, “Cohomology of partition lattices and free Lie algebras,” Discrete Maths, to appear.