Groupes et algèbres de Lie : Chapitre 9, Groupes de Lie réels compacts = Lie groups and algebras: Chapter 9, Compact real Lie groups
Publication year: 2007
ISBN: 978-3-540-34393-6
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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.
Subject: Mathematics and Statistics / Topological Groups, Lie Groups / MSC (2000): 22C05, 22E60, 22E46
