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Author:   Libor Šnobl ,  Pavel Winternitz
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470436544

ISBN 10:   147043654
Pages:   306
Publication Date:   30 January 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

Title page Contents Preface Acknowledgments Part 1. General theory Introduction and motivation Basic concepts Invariants of the coadjoint representation of a Lie algebra Part 2. Recognition of a Lie algebra given by its structure constants Identification of Lie algebras through the use of invariants Decomposition into a direct sum Levi decomposition. Identification of the radical and Levi factor The nilradical of a Lie algebra Part 3. Nilpotent, solvable and Levi decomposable Lie algebras Nilpotent Lie algebras Solvable Lie algebras and their nilradicals Solvable Lie algebras with abelian nilradicals Solvable Lie algebras with Heisenberg nilradical Solvable Lie algebras with Borel nilradicals Solvable Lie algebras with filiform and quasifiliform nilradicals Levi decomposable algebras Part 4. Low-dimensional Lie algebras Structure of the lists of low-dimensional Lie algebras Lie algebras up to dimension 3 Four-dimensional Lie algebras Five-dimensional Lie algebras Six-dimensional Lie algebras Bibliography Index

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