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Complex Semisimple Lie Algebras

Door Jean-Pierre Serre

Complex Semisimple Lie Algebras
CategorieAlgemeen wetenschap
Boeknummer#340899
TitelComplex Semisimple Lie Algebras
AuteurSerre, Jean-Pierre
BoektypePaperback
UitgeverijNew York : Springer-Verlag
Jaar van uitgave1987
ISBN100387965696
ISBN139780387965697
TaalEngels
BeschrijvingPaperback, illustrated with numerous equations and diagrams, 8vo. Graduate Texts in Mathematics, 42.
SamenvattingThese notes are a record of a course given in Algiers from lOth to 21st May, 1965. Their contents are as follows. The first two chapters are a summary, without proofs, of the general properties of nilpotent, solvable, and semisimple Lie algebras. These are well-known results, for which the reader can refer to, for example, Chapter I of Bourbaki or my Harvard notes. The theory of complex semisimple algebras occupies Chapters III and IV. The proofs of the main theorems are essentially complete; however, I have also found it useful to mention some complementary results without proof. These are indicated by an asterisk, and the proofs can be found in Bourbaki, Groupes et Algebres de Lie, Paris, Hermann, 1960-1975, Chapters IV-VIII. A final chapter shows, without proof, how to pass from Lie algebras to Lie groups (complex-and also compact). It is just an introduction, aimed at guiding the reader towards the topology of Lie groups and the theory of algebraic groups.
Pagina's167
ConditieGoed — Name in pen on title page, spine slightly discoloured.
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