From the reviews:
„This third volume of the collected works of Claude Chevalley is different. … After 50 years this is still a text to recommend to anyone who reads French and wants to learn more about algebraic groups. … The Borel subgroups, the Weyl group, the line bundles on the flag variety, a construction of homogeneous spaces, Jordan decomposition, singular tori, isogenies … they are all here, treated in full detail.“ (Wilberd van der Kallen, Zentralblatt MATH, Vol. 1099 (1), 2007)
Classification des Groupes Algébriques Semi-simples
The Classification of Semi-simple Algebraic Groups
von Claude Chevalley, herausgegeben von Pierre E. CartierThe third volume of the Collected Works of Claude Chevalley assembles his work on semi-simple algebraic groups contained, for the most part, in the notes of the famous „Séminaire Chevalley“ held at the Ecole Normale Supérieure in Paris between 1956 and 1958 and written up by participants of the seminar namely, P. Cartier, A. Grothendieck, R. Lazard and J. L. Verdier.
These texts have been entirely reset in TeX for this edition, and edited and annotated by Pierre Cartier. Almost 50 years after the original writing, these texts still constitute a choice reference from which to enter and learn this part of the theory of algebraic groups.
