Homological theory of representations/ Henning Krause
Series: Cambridge Studies in Advanced Mathemnatics | Cambridge Studies in Advanced Mathematics ; 195Publication details: UK: CUP, 2021Description: xxxiv, 482 pages; 24 cmISBN:- 9781108838894
- 23rd 514.24 K91
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.24 K91 (Browse shelf(Opens below)) | Available | 138728 |
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| 514.24 K33 Shape and shape theory | 514.24 K76 Bordism, stable homotopy and Adams spectral sequences | 514.24 K77 Stable homotopy groups of spheres : a computer assisted approach | 514.24 K91 Homological theory of representations/ | 514.24 L674 Equivariant stable homotopy theory | 514.24 L693 Beyond perturbation | 514.24 M261 La theorie de L'homotopie de grothendieck |
Includes bibliography and index
Part I: Abelian and decived categories -- part II: Orthogonal decompositions -- Part III: Derived equivalences -- Part IV: Purity
This book is devoted to representations of associative algebras and their homological theory. There are two basic approaches. The passage from representations to chain complexes of representations leads to the study of derived categories. The other approach identifies representations with appropriate functors; this leads to the study of functor categories. We offer an introduction to both approaches and present results which illustrate their beauty and importance.
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