TY - GEN AU - Krause,Henning TI - Homological theory of representations T2 - Cambridge Studies in Advanced Mathematics SN - 9781108838894 U1 - 514.24 23rd PY - 2021/// CY - UK PB - CUP KW - Mathematics KW - Topology KW - Homological Theory N1 - Includes bibliography and index; Part I: Abelian and decived categories -- part II: Orthogonal decompositions -- Part III: Derived equivalences -- Part IV: Purity N2 - 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 ER -