Trends in the representation theory of finite dimensional algebras : 1997 joint summer research conference on trends in the representation theory of finite dimensional algebras, July 20-24, 1997, Seattle, Washington

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Trends in the representation theory of finite dimensional algebras : 1997 joint summer research conference on trends in the representation theory of finite dimensional algebras, July 20-24, 1997, Seattle, Washington

Edward L. Green, Birge Huisgen-Zimmermann, editors

(Contemporary mathematics, v. 229)

American Mathematical Society, c1998

Available at  / 57 libraries

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'The 1997 AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on "Trends in the Representation Theory of Finite Dimensional Algebras" was held at the Univ. of Washington on July 20-24, 1997' -- T.p. verso.

Includes bibliographical references

Description and Table of Contents

Description

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. It's features include: work outlining significant progress on long-standing open problems; survey articles offering both overviews and introductions to various subfields of the topic; and, expositions reflecting the interplay between the representation theory of algebras and other fields.

Table of Contents

Postprojective partitions for tilting torsion pairs by I. Assem and F. U. Coelho Derived canonical algebras as one-point extensions by M. Barot and H. Lenzing Special biserial algebras and their automorphisms by F. M. Bleher Wild subquivers of the Auslander-Reiten quiver of a tame algebra by S. Brenner and M. C. R. Butler Representation theory of Noetherian Hopf algebras satisfying a polynomial identity by K. A. Brown Finite representation type and periodic Hochschild (co-)homology by R.-O. Buchweitz The syzygy theorem for monomial algebras by M. C. R. Butler Algebras whose derived category is tame by J. A. de la Pena Circular biextensions of tame concealed algebras by P. Draxler On the distribution of AR-components of restricted Lie algebras by R. Farnsteiner Compatible deformations by M. Gerstenhaber and A. Giaquinto Directing objects in hereditary categories by D. Happel and I. Reiten On subcategories associated with tilting modules by D. Happel and L. Unger Modules of the highest homological dimension over a Gorenstein ring by Y. Iwanaga and J. Miyachi Derived equivalence of graph algebras by M. Kauer Basic results on wild hereditary algebras by O. Kerner On minimal approximations of modules by H. Krause and M. Saorin Serre duality for generalized Auslander regular algebras by R. Martinez-Villa Classifying finite-dimensional semisimple Hopf algebras by S. Montgomery Geometry of modules: Degenerations by C. Riedtmann The preprojective algebra of a tame quiver: The irreducible components of the module varieties by C. M. Ringel Representation types, Tits reduced quadratic forms and orbit problems for lattices over orders by D. Simson Degenerations in module varieties with finitely many orbits by A. Skowronski and G. Zwara.

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