Trends in the Representation Theory of Finite Dimensional Algebras
About this Title
Edward L. Green and Birge Huisgen-Zimmermann, Editors
This refereed collection of research papers and survey articles reflects the interplay of finite-dimensional algebras with other areas (algebraic geometry, homological algebra, and the theory of quantum groups). Current trends are presented from the discussions at the AMS-IMS-SIAM Joint Summer Research Conference at the University of Washington (Seattle).
The volume features several excellent expository articles which will introduce the beginning researcher to cutting-edge topics in representation theory. The book will also provide inspiration to researchers in related areas, as it includes original papers spanning a broad spectrum of representation theory.
Work outlining significant progress on long-standing open problems.
Survey articles offering both overviews and introductions to various subfields of the topic.
Expositions reflecting the interplay between the representation theory of algebras and other fields.
Graduate students and researchers in representation theory of algebras, noetherian rings, Hopf algebras, quantum groups, deformation theory, applications of algebraic geometry and invariant theory to representation theory.
Table of Contents
- Ibrahim Assem and Flávio Ulhoa Coelho – Postprojective partitions for tilting torsion pairs [MR 1676207]
- Michael Barot and Helmut Lenzing – Derived canonical algebras as one-point extensions [MR 1676208]
- Frauke M. Bleher – Special biserial algebras and their automorphisms [MR 1676209]
- Sheila Brenner and Michael C. R. Butler – Wild subquivers of the Auslander-Reiten quiver of a tame algebra [MR 1676210]
- Kenneth A. Brown – Representation theory of Noetherian Hopf algebras satisfying a polynomial identity [MR 1676211]
- Ragnar-Olaf Buchweitz – Finite representation type and periodic Hochschild (co-)homology [MR 1676212]
- M. C. R. Butler – The syzygy theorem for monomial algebras [MR 1676213]
- J. A. de la Peña – Algebras whose derived category is tame [MR 1676214]
- Peter Dräxler – Circular biextensions of tame concealed algebras [MR 1676215]
- Rolf Farnsteiner – On the distribution of AR-components of restricted Lie algebras [MR 1676216]
- Murray Gerstenhaber and Anthony Giaquinto – Compatible deformations [MR 1676217]
- Dieter Happel and Idun Reiten – Directing objects in hereditary categories [MR 1676218]
- Dieter Happel and Luise Unger – On subcategories associated with tilting modules [MR 1676219]
- Yasuo Iwanaga and Jun-ichi Miyachi – Modules of the highest homological dimension over a Gorenstein ring [MR 1676220]
- Michael Kauer – Derived equivalence of graph algebras [MR 1676221]
- Otto Kerner – Basic results on wild hereditary algebras [MR 1676222]
- Henning Krause and Manuel Saorín – On minimal approximations of modules [MR 1676223]
- Roberto Martínez-Villa – Serre duality for generalized Auslander regular algebras [MR 1676224]
- Susan Montgomery – Classifying finite-dimensional semisimple Hopf algebras [MR 1676225]
- Christine Riedtmann – Geometry of modules: degenerations [MR 1676226]
- Claus Michael Ringel – The preprojective algebra of a tame quiver: the irreducible components of the module varieties [MR 1676227]
- Daniel Simson – Representation types, Tits reduced quadratic forms and orbit problems for lattices over orders [MR 1676228]
- Andrzej Skowroński and Grzegorz Zwara – Degenerations in module varieties with finitely many orbits [MR 1676229]