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Hochschild Cohomology for Algebras
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About This Book
This book gives a thorough and self-contained introduction to the theory of Hochschild cohomology for algebras and includes many examples and exercises. The book then explores Hochschild cohomology as a Gerstenhaber algebra in detail, the notions of smoothness and duality, algebraic deformation theory, infinity structures, support varieties, and connections to Hopf algebra cohomology. Useful homological algebra background is provided in an appendix. The book is designed both as an introduction for advanced graduate students and as a resource for mathematicians who use Hochschild cohomology in their work.
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Yes, you can access Hochschild Cohomology for Algebras by Sarah J. Witherspoon in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Introduction
- Chapter 1. Historical Definitions and Basic Properties
- Chapter 2. Cup Product and Actions
- Chapter 3. Examples
- Chapter 4. Smooth Algebras and Van den Bergh Duality
- Chapter 5. Algebraic Deformation Theory
- Chapter 6. Gerstenhaber Bracket
- Chapter 7. Infinity Algebras
- Chapter 8. Support Varieties for Finite-Dimensional Algebras
- Chapter 9. Hopf Algebras
- Appendix A. Homological Algebra Background
- Bibliography