Advances in Representation Theory of Algebras

Description

This volume presents a collection of articles devoted to representations of algebras and related topics. Dististinguished experts in this field presented their work at the International Conference on Representations of Algebras, which took place in Bielefeld in 2012. Many of the expository surveys are included here. Researchers of representation theory will find in this volume interesting and stimulating contributions to the development of the subject. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society Content: Infinite dimensional tilting theory / Lidia Angeleri Hügel -- A survey of modules of constant Jordan type and vector bundles on projective space / David J. Benson -- On representation-finite algebras and beyond / Klaus Bongartz -- Quiver Hecke algebras and categorification / Jonathan Brundan -- Ordered exchange graphs / Thomas Brüstle and Dong Yang -- Introduction to Donaldson-Thomas invariants / Sergey Mozgovoy -- Cluster algebras and singular supports of perverse sheaves / Hiraku Nakajima -- Representations and cohomology of finite group schemes / Julia Pevtsova -- Superdecomposable pure-injective modules / Mike Prest -- Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves / Jan Šťovíček.