Hochschild Cohomology for Algebras
Seiten
2020
American Mathematical Society (Verlag)
978-1-4704-4931-5 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-4931-5 (ISBN)
- Titel ist leider vergriffen;
keine Neuauflage - Artikel merken
Provides a thorough and self-contained introduction to the theory of Hochschild cohomology for algebras. 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.
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.
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.
Sarah J. Witherspoon, Texas A&M University, College Station, TX.
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
| Erscheinungsdatum | 28.01.2020 |
|---|---|
| Reihe/Serie | Graduate Studies in Mathematics |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4704-4931-5 / 1470449315 |
| ISBN-13 | 978-1-4704-4931-5 / 9781470449315 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 55,95
