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Selected Papers of J L Koszul cover

This volume brings together the major contributions of J L Koszul and some expository articles. They are organized in chronological order.

The main subjects included are: cohomology of Lie algebras; relative cohomology; reductive subalgebras and transgression theorem; the formalism of spectral sequences; “Koszul complexes”; proper and differentiable actions of Lie groups; slices; hermitian forms on complex homogeneous domains; bounded domains; locally flat manifolds; convex homogeneous domains; simplicial spaces; themes related to Gelfand Fuks theory and supergeometry.


Contents:
  • (Most of the papers are in French). Homologie et Cohomologie des Algèbres de Lie
  • Sur Certains Groupes de Transformations de Lie
  • Sur les Modules de Représentation des Algèbres de Lie Résolubles
  • Sur la Forme Hermitienne Canonique des Espaces Homogènes Complexes
  • Sur Certaines Structures Fibrées Complexes
  • Multiplicateurs et Classes Caractéristiques
  • Ouverts Convexes Homogènes des Espaces Affines
  • Variétés Localement Plates et Convexité
  • Déformation des Connexions Localement Plates
  • Connexions Hyperboliques et Déformations
  • Homologie des Complexes de Formes Différentielles d'ordre Supérieur
  • Les Algèbres de Lie Graduées de Type Sl(n,1) et l'Opérateur de A Capelli
  • and other papers

Readership: Mathematicians.