Complex Semisimple Lie Algebras /
These 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. Subs...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1987.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | These 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (ix, 74 pages) |
| ISBN: | 9781475739107 (electronic bk.) 1475739109 (electronic bk.) |