الصفحة 1
الصفحة 1
Quantization on Nilpotent Lie Groups
Presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups.
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.
Groupes et algèbres de Lie : Chapitre 1 = Lie groups and algebras : Chapter 1
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.
Elements of Mathematics : Lie Groups and Lie Algebras
Provide a formal, systematic presentation of mathematics from their beginning. This volume concludes the book on Lie Groups and Lie Algebras by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. It contains the following chapters: 7. Cartan Subalgebras and Regular Elements / 8. Split Semi-Simple Lie Algebras / 9. Compact Real Lie Groups
Compact Lie Groups
This book covers the structure and representation theory of compact Lie groups. The necessary Lie algebra theory is also developed in the text with a streamlined approach focusing on linear Lie groups.
