Identical relations in Lie algebras / Yuri Bahturin.

Format:

Book

Author/Creator:

Bakhturin, I͡U. A., author.

Series:

De Gruyter expositions in mathematics ; 68.

De Gruyter Expositions in Mathematics ; 68

Language:

English

Subjects (All):

Lie algebras.

Physical Description:

1 online resource.

Edition:

2nd edition.

Place of Publication:

Berlin ; Boston : Walter de Gruyter GmbH, [2021]

Summary:

"The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, BrasilWalter D. Neumann, Columbia University, New York, USAMarkus J. Pflaum, University of Colorado, Boulder, USADierk Schleicher, Aix-Marseille Université, FranceKatrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021) "--

Contents:

Intro

Preface to the second edition

Preface to the first edition

Contents

1 Basic theory of Lie algebras

2 Free Lie algebras

3 Homogeneous structure of free Lie algebras

4 Varieties of Lie algebras

5 Finite basis problem

6 Special Lie algebras: structure, identities, and applications

7 Identities in finite Lie algebras

8 Applications to group theory

9 Codimension growth

10 Subalgebra growth in free Lie algebras

11 Identities of graded Lie algebras

12 Identities of algebras with action of Hopf algebras

13 Engel Lie algebras

14 Miscellaneous topics

Bibliography

Subject index

Index of authors

Index of notation.

Notes:

Includes bibliographical references and indexes.

Description based on print version record.

ISBN:

3-11-056570-6

3-11-056665-6

OCLC:

1266229095