Produkt
KlappentextThese 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).
ZusammenfassungThese notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and representation theory. The theory is illustrated by using the example of sln; in particular, the representation theory of sl2 is completely worked out. The last chapter discusses the connection between Lie algebras and Lie groups, and is intended to guide the reader towards further study.
Details
ISBN/GTIN978-3-540-67827-4
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2000
Erscheinungsdatum12.12.2000
Auflage1st ed. 1987. Reprint 2000
Seiten75 Seiten
SpracheEnglisch
Gewicht298 g
IllustrationenIX, 75 p.
Artikel-Nr.11925679
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