Nilpotent Lie Algebras / Edition 1

by M. Goze, Y. Khakimdjanov

Overview

This volume is devoted to the theory of nilpotent Lie algebras and their applications. Nilpotent Lie algebras have played an important role over the last years both in the domain of algebra, considering its role in the classification problems of Lie algebras, and in the domain of differential geometry. Among the topics discussed here are the following: cohomology theory of Lie algebras, deformations and contractions, the algebraic variety of the laws of Lie algebras, the variety of nilpotent laws, and characteristically nilpotent Lie algebras in nilmanifolds.
Audience: This book is intended for graduate students specialising in algebra, differential geometry and in theoretical physics and for researchers in mathematics and in theoretical physics.

Product Details

ISBN-13:	9789048146710
Publisher:	Springer Netherlands
Publication date:	12/10/2010
Series:	Mathematics and Its Applications , #361
Edition description:	Softcover reprint of hardcover 1st ed. 1996
Pages:	336
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Preface. 1. Lie Algebras. Generalities. 2. Some Classes of Nilpotent Lie Algebras. 3. Cohomology of Lie Algebras. 4. Cohomology of Some Nilpotent Lie Algebras. 5. The Algebraic Variety of the Laws of Lie Algebras. 6. Variety of Nilpotent Lie Algebras. 7. Characteristically Nilpotent Lie Algebras. 8. Applications to Differential Geometry. The Nilmanifolds. Bibliography. Index.