Softcover ISBN:  9781470462864 
Product Code:  GSM/204.S 
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eBook ISBN:  9781470454630 
EPUB ISBN:  9781470469313 
Product Code:  GSM/204.E 
List Price:  $75.00 
MAA Member Price:  $67.50 
AMS Member Price:  $60.00 
Softcover ISBN:  9781470462864 
eBook: ISBN:  9781470454630 
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 
Softcover ISBN:  9781470462864 
Product Code:  GSM/204.S 
List Price:  $89.00 
MAA Member Price:  $80.10 
AMS Member Price:  $71.20 
eBook ISBN:  9781470454630 
EPUB ISBN:  9781470469313 
Product Code:  GSM/204.E 
List Price:  $75.00 
MAA Member Price:  $67.50 
AMS Member Price:  $60.00 
Softcover ISBN:  9781470462864 
eBook ISBN:  9781470454630 
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 

Book DetailsGraduate Studies in MathematicsVolume: 204; 2019; 264 ppMSC: Primary 16
This book gives a thorough and selfcontained 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.
ReadershipGraduate students and researchers interested in noncommutative 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


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This book gives a thorough and selfcontained 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 noncommutative 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