Nilpotent Lie Algebras by M. GozeNilpotent Lie Algebras by M. Goze

Nilpotent Lie Algebras

byM. Goze, Y. Khakimdjanov

Paperback | December 15, 2010

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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.
Title:Nilpotent Lie AlgebrasFormat:PaperbackDimensions:351 pages, 9.25 × 6.1 × 0 inPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048146712

ISBN - 13:9789048146710

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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.