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Singularities, Representation of Algebras, and Vector Bundles

Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13–17, 1985

  • Editors
  • Gert-Martin Greuel
  • Günther Trautmann

Part of the Lecture Notes in Mathematics book series (LNM, volume 1273)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. M. S. Narasimhan
    Pages 1-8
  3. Frank-Olaf Schreyer
    Pages 9-34
  4. Ragnar-Olaf Buchweitz, David Eisenbud, Jürgen Herzog
    Pages 58-116
  5. Maurice Auslander, Idun Reiten
    Pages 232-243
  6. Dieter Happel
    Pages 298-317
  7. W. Böhmer, G. Trautmann
    Pages 325-336

About these proceedings

Introduction

It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction. These relations however cannot be considered to be either completely understood or fully exploited. These proceedings document recent developments in the area. The questions and methods of representation theory have applications to singularities and to vector bundles. Representation theory itself, which had primarily developed its methods for Artinian algebras, starts to investigate algebras of higher dimension partly because of these applications. Future research in representation theory may be spurred by the classification of singularities and the highly developed theory of moduli for vector bundles. The volume contains 3 survey articles on the 3 main topics mentioned, stressing their interrelationships, as well as original research papers.

Keywords

Lattice Representation theory cohomology homology moduli space vector bundle

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0078834
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-18263-4
  • Online ISBN 978-3-540-47851-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site