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  Crossed modules

Wagemann, F. (2021). Crossed modules. Berlin: De Gruyter.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-5120-7 Version Permalink: https://hdl.handle.net/21.11116/0000-0009-7DE2-C
Genre: Monograph

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https://doi.org/10.1515/9783110750959 (Publisher version)
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 Creators:
Wagemann, Friedrich1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: This book presents material in two parts. Part one provides an introduction to crossed modules of groups, Lie algebras and associative algebras with fully written out proofs and is suitable for graduate students interested in homological algebra. In part two, more advanced and less standard topics such as crossed modules of Hopf algebra, Lie groups, and racks are discussed as well as recent developments and research on crossed modules.

First complete book on crossed modules available. Provides full worked out proofs throughout, suitable for graduate students or a second year graduate course on homological algebra.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: XIV, 396 S.
 Publishing info: Berlin : De Gruyter
 Table of Contents: Frontmatter I
Preface V
Acknowledgment IX
Contents XI
1 Crossed modules of groups 1
2 Crossed modules of Lie algebras 85
3 Crossed modules of associative algebras 169
4 Crossed modules of Hopf algebras 227
5 Crossed modules with geometric structure 273
6 Crossed modules of racks 319
A Cohomology of groups 367
B Cohomology of Lie algebras 373
C Cohomology of associative algebras 379
D Lie groups and their cohomology 383
Bibliography 387
Index 391
 Rev. Type: -
 Identifiers: ISBN: 978-3-11-075076-8
DOI: 10.1515/9783110750959
 Degree: -

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Title: De Gruyter studies in mathematics
Source Genre: Series
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Pages: - Volume / Issue: 82 Sequence Number: - Start / End Page: - Identifier: -