Complex Semisimple Lie Algebras

By:

Jean-Pierre Serre

Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

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.

Release date Australia

December 12th, 2000

Author

Jean-Pierre Serre

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Contributor

Translated by Glen Jones

Edition

1st ed. 1987. Reprint 2000

Illustrations

IX, 75 p.

Pages

Series

Springer Monographs in Mathematics

Dimensions

156x234x6

ISBN-13

9783540678274

Product ID

2108585

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