الصفحة 1
الصفحة 1
Groupes et algèbres de Lie : Chapitres 2 et 3 = Lie groups and algebras : Chapters 2 and 3
Nicolas BOURBAKI's Elements of Mathematics aim to provide a rigorous, systematic and prerequisite presentation of mathematics from their foundations. Chapter 2 continues the presentation of the fundamental notions of Lie algebras with the introduction of free Lie algebras and the series by Hausdorff. Chapter 3 is devoted to the basic concepts for the groups of Lies on an Archimedean or ultrametric body.
Groupes et algèbres de Lie : Chapitre 9, Groupes de Lie réels compacts = Lie groups and algebras : Chapter 9, Compact real Lie groups
Nicolas BOURBAKI's Elements of Mathematics aim to provide a rigorous, systematic and un-prerequisite presentation of mathematics from their foundations. This ninth chapter of the Book on Groups and Lie Algebras, ninth Book of the treatise, includes the paragraphs, Compact Lie Algebras ; Maximum tori of compact Lie groups; Compact fromes of complex semi-simple Lie algebras; Root system associated with a compact group; Conjugation classes; Integration into compact Lie groups; Irreducible representations of connected compact Lie groups; Fourier transformation; Operation of compact Lie groups on manifolds.
