Homological Theory of Representations Krause Henning Universitat Bielefeld Germany
Homological Theory of Representations Krause Henning Universitat Bielefeld Germany Modern developments in representation theory rely heavily on homological methods. Categorical foundations include…
Specifikacia Homological Theory of Representations Krause Henning Universitat Bielefeld Germany
Homological Theory of Representations Krause Henning Universitat Bielefeld Germany
Modern developments in representation theory rely heavily on homological methods. Categorical foundations include abelian and derived categories, with an emphasis on localisation, spectra, and purity. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their power and beauty.
Also covered are Gorenstein and quasi-hereditary algebras, including Schur algebras, which model polynomial representations of general linear groups, and the Morita theory of derived categories via tilting objects. The representation theoretic focus is on module categories of Artin algebras, with discussions of the representation theory of finite groups and finite quivers. The final part is devoted to a systematic introduction to the theory of purity for locally finitely presented categories, covering