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Homological Theory of Representations
Buch von Henning Krause
Sprache: Englisch

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Beschreibung
This book for advanced graduate students and researchers discusses representations of associative algebras and their homological theory.
This book for advanced graduate students and researchers discusses representations of associative algebras and their homological theory.
Über den Autor
Henning Krause is Professor of Mathematics at Bielefeld University. He works in the area of representation theory of finite-dimensional algebras, with a particular interest in homological structures. His previous publications include the Handbook of Tilting Theory (Cambridge, 2007). Professor Krause is Fellow of the American Mathematical Society.
Inhaltsverzeichnis
Introduction; Conventions and notations; Glossary; Standard functors and isomorphisms; Part I. Abelian and Derived Categories: 1. Localisation; 2. Abelian categories; 3.Triangulated categories; 4. Derived categories; 5. Derived categories of representations; Part II. Orthogonal Decompositions: 6. Gorenstein algebras, approximations and Serre duality; 7. Tilting in exact categories; 8. Polynomial representations; Part III. Derived Equivalences: 9. Derived equivalences; 10. Examples of derived equivalences; Part IV. Purity: 11. Locally finitely presented categories; 12. Purity; 13. Endofiniteness; 14. Krull-Gabriel dimension; References; Notation; Index.
Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781108838894
ISBN-10: 1108838898
Sprache: Englisch
Einband: Gebunden
Autor: Krause, Henning
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 35 mm
Von/Mit: Henning Krause
Erscheinungsdatum: 13.10.2021
Gewicht: 0,984 kg
Artikel-ID: 120202413
Über den Autor
Henning Krause is Professor of Mathematics at Bielefeld University. He works in the area of representation theory of finite-dimensional algebras, with a particular interest in homological structures. His previous publications include the Handbook of Tilting Theory (Cambridge, 2007). Professor Krause is Fellow of the American Mathematical Society.
Inhaltsverzeichnis
Introduction; Conventions and notations; Glossary; Standard functors and isomorphisms; Part I. Abelian and Derived Categories: 1. Localisation; 2. Abelian categories; 3.Triangulated categories; 4. Derived categories; 5. Derived categories of representations; Part II. Orthogonal Decompositions: 6. Gorenstein algebras, approximations and Serre duality; 7. Tilting in exact categories; 8. Polynomial representations; Part III. Derived Equivalences: 9. Derived equivalences; 10. Examples of derived equivalences; Part IV. Purity: 11. Locally finitely presented categories; 12. Purity; 13. Endofiniteness; 14. Krull-Gabriel dimension; References; Notation; Index.
Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781108838894
ISBN-10: 1108838898
Sprache: Englisch
Einband: Gebunden
Autor: Krause, Henning
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 35 mm
Von/Mit: Henning Krause
Erscheinungsdatum: 13.10.2021
Gewicht: 0,984 kg
Artikel-ID: 120202413
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