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Hochschild Cohomology for Algebras

Sarah J. Witherspoon Texas A&M University, College Station, TX
Available Formats:
Softcover ISBN: 978-1-4704-6286-4
Product Code: GSM/204.S
List Price: $95.00 MAA Member Price:$85.50
AMS Member Price: $76.00 Electronic ISBN: 978-1-4704-5463-0 EPUB ISBN: 978-1-4704-6931-3 Product Code: GSM/204.E List Price:$95.00
MAA Member Price: $85.50 AMS Member Price:$76.00
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $142.50 MAA Member Price:$128.25
AMS Member Price: $114.00 Click above image for expanded view Hochschild Cohomology for Algebras Sarah J. Witherspoon Texas A&M University, College Station, TX Available Formats:  Softcover ISBN: 978-1-4704-6286-4 Product Code: GSM/204.S  List Price:$95.00 MAA Member Price: $85.50 AMS Member Price:$76.00
 Electronic ISBN: 978-1-4704-5463-0 EPUB ISBN: 978-1-4704-6931-3 Product Code: GSM/204.E
 List Price: $95.00 MAA Member Price:$85.50 AMS Member Price: $76.00 Please Note: Purchasing the electronic version includes access to both a PDF and EPUB version Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$142.50 MAA Member Price: $128.25 AMS Member Price:$114.00
• Book Details

Volume: 2042019; 264 pp
MSC: Primary 16;

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.

Graduate students and researchers interested in non-commutative geometry and representation theory.

• Chapters
• Historical defintions and basic properties
• Cup product and actions
• Examples
• Smooth algebras and Van den Bergh duality
• Algebraic deformation theory
• Gerstenhaber bracket
• Infinity algebras
• Support varieties for finite dimensional algebras
• Hopf algebras
• Homological algebra background

• Requests

Review Copy – for reviewers who would like to review an AMS book
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 2042019; 264 pp
MSC: Primary 16;

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.

Graduate students and researchers interested in non-commutative geometry and representation theory.

• Chapters
• Historical defintions and basic properties
• Cup product and actions
• Examples
• Smooth algebras and Van den Bergh duality
• Algebraic deformation theory
• Gerstenhaber bracket
• Infinity algebras
• Support varieties for finite dimensional algebras
• Hopf algebras
• Homological algebra background
Review Copy – for reviewers who would like to review an AMS book
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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