Complex Semisimple Lie Algebras

Par : Jean-Pierre Serre

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  • Nombre de pages74
  • PrésentationRelié
  • Poids0.28 kg
  • Dimensions16,0 cm × 24,0 cm × 1,1 cm
  • ISBN3-540-67827-1
  • EAN9783540678274
  • Date de parution27/12/2000
  • CollectionMonographs in Mathematics
  • ÉditeurSpringer

Résumé

These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers, including the 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 last chapter discusses the connection between complex Lie algebras and compact Lie groups, and is intended to guide the reader towards further study.
These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers, including the 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 last chapter discusses the connection between complex Lie algebras and compact Lie groups, and is intended to guide the reader towards further study.
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Jean-Pierre Serre
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Jean-Pierre Serre
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