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Hochschild Cohomology for Algebras
Sarah J. Witherspoon
出版American Mathematical Society, 2020-06-30
主題Mathematics / General
ISBN14704628699781470462864
URLhttp://books.google.com.hk/books?id=ch2_EAAAQBAJ&hl=&source=gbs_api
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註釋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.