Complex semisimple Lie algebras
by Jean-Pierre Serre
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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 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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Book Details
Edition Notes
Translation of: Algèbres de Lie semi-simples complexes.
Includes index.
Bibliography: p. 71-72.
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| January 24, 2025 | Edited by MARC Bot | import existing book |
| March 21, 2023 | Edited by Stew | Fix author. |
| March 20, 2023 | Edited by tmanarl | Merge works (MRID: 53142) |
| December 29, 2022 | Edited by Tom Morris | merge authors |
| December 9, 2009 | Created by WorkBot | add works page |