Jean-Louis Loday

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Jean-Louis Loday (born January 12, 1946 , † June 6, 2012 at Les Sables-d'Olonne ) was a French mathematician.

Loday attended the Lycée Louis-le-Grand and was first nationwide in the Concours General in Mathematics in 1963. From 1965 he studied at the École normal supérieure . In 1975 he received his doctorate under Max Karoubi at the University of Strasbourg (K-theory algèbrique et representations de groupes). He was Research Director of the CNRS and Professor at the University of Strasbourg (IRMA). He died in a sailing accident in 2012.

Loday dealt with algebraic K-theory, algebraic topology, non-commutative geometry (cyclic homology) and algebra (theory of operads).

In 1987 he received the Prix Francœur of the Academie des Sciences.

He also published under the pseudonym Guillaume William Zinbiel (compiled from the letters of Leibniz ), after which he named Zinbiel algebras.

His doctoral students include Bruno Vallette and Christian Kassel .

Fonts

  • K-théorie algébrique et representations de groupes. Ann. Sci. École Norm. Sup. (4) 9 (1976) no. 3, 309-377.
  • Spaces with finitely many nontrivial homotopy groups. J. Pure Appl. Algebra 24 (1982) no. 2, 179-202.
  • with Daniel Quillen : Cyclic homology and the Lie algebra homology of matrices. Comment. Math. Helv. 59 (1984), no. 4, 569-591.
  • with Ronald Brown : Van Kampen theorems for diagrams of spaces. With an appendix by M. Zisman. Topology, 26, no. 3, 311-335 (1987).
  • Opérations sur l'homologie cyclique des algèbres commutatives. Invent. Math. 96 (1989) no. 1, 205-230.
  • Une version non commutative des algèbres de Lie: les algèbres de Leibniz . L'Enseignement Mathématique, Volume 39, 1993, pp. 269-293 (Introduction by Leibniz Algebras )
  • with Pirashvili Teimuraz Universal enveloping algebras of Leibniz algebras and (co) homology . Mathematische Annalen, Volume 296, 1993, pp. 139-158
  • La renaissance des opérades , Seminaire Bourbaki 792, 1994/95
  • Cyclic Homology . Basic teaching of the mathematical sciences , Springer Verlag 1992, 2nd edition 1998
  • with Maria Ronco: Hopf algebra of the planar binary trees. Adv. Math. 139 (1998) no. 2, 293-309.
  • Dialgebras . Lecture Notes in Mathematics 1763, Springer Verlag 2001
  • Generalized bialgebras and triples of operads . Astérisque, no.320, 2008
  • with Bruno Vallette: Algebraic Operads . Basic teachings of the mathematical sciences , Springer Verlag 2012

Web links

Individual evidence

  1. ↑ Obituary SMF
  2. ↑ Jean-Louis Loday in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Zinbiel "Encyclopedia of types of algebras 2010", in Li Guo, Chengming Bai, Chengming, Loday Operads and universal algebra , Nankai Series in Pure, Applied Mathematics and Theoretical Physics 9, 2012, pp. 217-298
  4. ↑ Fictional biography of Zinbiel von Loday on his website at IRMA
personal data
SURNAME Loday, Jean-Louis
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH January 12, 1946
DATE OF DEATH June 6, 2012
Place of death at Les Sables-d'Olonne