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Hochschild Cohomology for Algebras
 
Sarah J. Witherspoon Texas A&M University, College Station, TX
Hochschild Cohomology for Algebras
Softcover ISBN:  978-1-4704-6286-4
Product Code:  GSM/204.S
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
This item is temporarily out of stock. Order now and your item will ship as soon as stock becomes available.
Expected availability date: April 30, 2024
eBook ISBN:  978-1-4704-5463-0
EPUB ISBN:  978-1-4704-6931-3
Product Code:  GSM/204.E
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $60.00
Softcover ISBN:  978-1-4704-6286-4
eBook: ISBN:  978-1-4704-5463-0
Product Code:  GSM/204.S.B
List Price: $164.00 $126.50
MAA Member Price: $147.60 $113.85
AMS Member Price: $131.20 $101.20
This item is temporarily out of stock. Order now and your item will ship as soon as stock becomes available.
Expected availability date: April 30, 2024
Please Note: Purchasing the eBook version includes access to both a PDF and EPUB version
Hochschild Cohomology for Algebras
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Hochschild Cohomology for Algebras
Sarah J. Witherspoon Texas A&M University, College Station, TX
Softcover ISBN:  978-1-4704-6286-4
Product Code:  GSM/204.S
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
This item is temporarily out of stock. Order now and your item will ship as soon as stock becomes available.
Expected availability date: April 30, 2024
eBook ISBN:  978-1-4704-5463-0
EPUB ISBN:  978-1-4704-6931-3
Product Code:  GSM/204.E
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $60.00
Softcover ISBN:  978-1-4704-6286-4
eBook ISBN:  978-1-4704-5463-0
Product Code:  GSM/204.S.B
List Price: $164.00 $126.50
MAA Member Price: $147.60 $113.85
AMS Member Price: $131.20 $101.20
This item is temporarily out of stock. Order now and your item will ship as soon as stock becomes available.
Expected availability date: April 30, 2024
Please Note: Purchasing the eBook version includes access to both a PDF and EPUB version
  • Book Details
     
     
    Graduate Studies in Mathematics
    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.

    Readership

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

  • Table of Contents
     
     
    • 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 publishers of book reviews
    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.

Readership

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 publishers of book reviews
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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