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Book

Semisimple Lie Algebras

Book

Semisimple Lie Algebras

DOI link for Semisimple Lie Algebras

Semisimple Lie Algebras book

Semisimple Lie Algebras

DOI link for Semisimple Lie Algebras

Semisimple Lie Algebras book

ByMorikuni Goto, Frank D. Grosshans
Edition 1st Edition
First Published 1978
eBook Published 18 December 2020
Pub. Location Boca Raton
Imprint CRC Press
DOI https://doi.org/10.1201/9781003071778
Pages 496
eBook ISBN 9781003071778
Subjects Mathematics & Statistics
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Goto, M., & Grosshans, F.D. (1978). Semisimple Lie Algebras (1st ed.). CRC Press. https://doi.org/10.1201/9781003071778

ABSTRACT

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

chapter Chapter 1|70 pages

General Theory of Lie Algebras

chapter Chapter 2|64 pages

Semisimple Lie Algebras

chapter Chapter 3|26 pages

Cohomology of Lie Algebras and its Application

chapter Chapter 4|35 pages

Semisimple Lie Algebras Over ℝ and ℂ

chapter Chapter 5|52 pages

Groups Connected with a Root System

chapter Chapter 6|67 pages

Linear Groups

chapter Chapter 7|71 pages

Irreducible Representations

chapter Chapter 8|57 pages

Classification of Real Simple Lie Algebras

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