Ebook: Crossed Modules

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