Semisimple Lie Algebras  book cover
1st Edition

Semisimple Lie Algebras

ISBN 9781138401853
Published July 27, 2017 by CRC Press
494 Pages

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Book Description

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.

Table of Contents

1. General Theory of Lie Algebras 2. Semisimple Lie Algebras 3. Cohomology of Lie Algebras And its Application 4. Semisimple Lie Algebras Over and 5. Groups Connected with a Root System 6. Linear Groups 7. Irreducible Representations 8. Classification of Real Simple Lie Algebras

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Morikuni Goto is a Professor of Mathematics at the University of Pennsylvania in Philadelphia. Frank D. GrossHans is a Professor in the Department of Mathematical Sciences at West Chester State College,Pennsylvania.