Henning Krause (Germany Universitat Bielefeld)

Homological Theory of Representations

• Gebundenes Buch

Produktbeschreibung

This book introduces the homological methods used in modern representation theory and discusses several landmark results that illustrate their power and beauty. With detailed exposition of many topics unavailable in one volume until now, it is an invaluable resource for advanced graduate students and researchers in representation theory.

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Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 518
• Erscheinungstermin: 13. Oktober 2021
• Englisch
• Abmessung: 235mm x 157mm x 35mm
• Gewicht: 920g
• ISBN-13: 9781108838894
• ISBN-10: 1108838898
• Artikelnr.: 62050631

Autorenporträt

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.

Inhaltsangabe

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.