Contemporary Mathematics 1998; 356 pp; softcover Volume: 229 ISBN10: 0821809288 ISBN13: 9780821809280 List Price: US$96 Member Price: US$76.80 Order Code: CONM/229
 This refereed collection of research papers and survey articles reflects the interplay of finitedimensional algebras with other areas (algebraic geometry, homological algebra, and the theory of quantum groups). Current trends are presented from the discussions at the AMSIMSSIAM Joint Summer Research Conference at the University of Washington (Seattle). The volume features several excellent expository articles which will introduce the beginning researcher to cuttingedge 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. Features:  Work outlining significant progress on longstanding 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.
Readership 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  I. Assem and F. U. Coelho  Postprojective partitions for tilting torsion pairs
 M. Barot and H. Lenzing  Derived canonical algebras as onepoint extensions
 F. M. Bleher  Special biserial algebras and their automorphisms
 S. Brenner and M. C. R. Butler  Wild subquivers of the AuslanderReiten quiver of a tame algebra
 K. A. Brown  Representation theory of Noetherian Hopf algebras satisfying a polynomial identity
 R.O. Buchweitz  Finite representation type and periodic Hochschild (co)homology
 M. C. R. Butler  The syzygy theorem for monomial algebras
 J. A. de la Peña  Algebras whose derived category is tame
 P. Dräxler  Circular biextensions of tame concealed algebras
 R. Farnsteiner  On the distribution of ARcomponents of restricted Lie algebras
 M. Gerstenhaber and A. Giaquinto  Compatible deformations
 D. Happel and I. Reiten  Directing objects in hereditary categories
 D. Happel and L. Unger  On subcategories associated with tilting modules
 Y. Iwanaga and J. Miyachi  Modules of the highest homological dimension over a Gorenstein ring
 M. Kauer  Derived equivalence of graph algebras
 O. Kerner  Basic results on wild hereditary algebras
 H. Krause and M. Saorín  On minimal approximations of modules
 R. MartínezVilla  Serre duality for generalized Auslander regular algebras
 S. Montgomery  Classifying finitedimensional semisimple Hopf algebras
 C. Riedtmann  Geometry of modules: Degenerations
 C. M. Ringel  The preprojective algebra of a tame quiver: The irreducible components of the module varieties
 D. Simson  Representation types, Tits reduced quadratic forms and orbit problems for lattices over orders
 A. Skowroński and G. Zwara  Degenerations in module varieties with finitely many orbits
