1st Edition

Semisimple Lie Algebras

By Morikuni Goto Copyright 1978
    494 Pages
    by CRC Press

    494 Pages
    by CRC Press

    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.

    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

    Biography

    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.