Hochschild cohomology for algebras

Author(s)

• Witherspoon, Sarah J.

Bibliographic Information

Hochschild cohomology for algebras

Sarah J. Witherspoon

（Graduate studies in mathematics, v. 204）

American Mathematical Society, c2019

Note

Includes bibliographical references (p. 235-246) and index

Description and Table of Contents

Description

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.

Table of Contents

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 Bibliography Index

by "Nielsen BookData"

Details

• NCID: BB29393824
• ISBN:
  • 9781470449315
• LCCN: 2019034787
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: xi, 250 p.
• Size: 27 cm
• Classification:
  • LCC : QA612.3
  • DC23 : 514/.23
• Subject Headings:
  • LCSH : Homology theory
  • LCSH : Commutative algebra
• Parent Bibliography ID:
  • BA20542214