Jean-Pierre Serre - Complex Semisimple Lie Algebras.

Complex Semisimple Lie Algebras (Relié)

Name: Complex Semisimple Lie Algebras
Price: 53.49 EUR
Availability: Instock
Author: Jean-Pierre Serre
ISBN: 9783540678274

Jean-Pierre Serre

Springer
Paru le : 27/12/2000

These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers, including... > Lire la suite

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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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Résumé
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- Nilpotent Lie Algebras and Solvable Lie Algebras
- Semisimple Lie Algebras (General Theorems)
- Cartan Subalgebras
- The Algebra sl2 and Its Representations
- Root systems
- Structure of Semisimple Lie Algebras
- Linear Representations of Semisimple Lie Algebras
- Complex Groups and Compact Groups.