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- catalog abstract "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.".
- catalog contributor b1852555.
- catalog contributor b1852556.
- catalog contributor b1852557.
- catalog created "c1987.".
- catalog date "1987".
- catalog date "c1987.".
- catalog dateCopyrighted "c1987.".
- catalog description "From the contents: M.S. Narasimhan: Survey of vector bundles on curves -- F.O. Schreyer: Finite and countable CM-representation type -- I. Reiten: Finite dimensional algebras and singularities. With further contributions by: M. Auslander, W. Böhmer, R.O. Buchweitz, J.A. Christophersen, E. Dieterich, I.M. Drezet, D. Eisenbud, C. Ellingsrud, O. Forster, W. Geigle, D. Happel, J. Herzog, H. Knörrer, H. Lenzing, C.J. Rego, I. Reiten, K.W. Roggenkamp, H. Sanders, A. Schappert, J. Steenbrink, D. van Straten, S.A. Stromme, G. Trautmann, K. Wolffhardt, J. Wunram, S. Zucker.".
- catalog description "Includes bibliographies.".
- catalog description "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.".
- catalog extent "xiv, 383 p. ;".
- catalog identifier "0387182632 (New York)".
- catalog identifier "3540182632 (Berlin)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1273.".
- catalog isPartOf "Lecture notes in mathematics ; 1273".
- catalog issued "1987".
- catalog issued "c1987.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog subject "Geometry, algebraic.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "Representations of algebras Congresses.".
- catalog subject "Singularities (Mathematics) Congresses.".
- catalog subject "Topological Groups.".
- catalog subject "Vector bundles Congresses.".
- catalog tableOfContents "From the contents: M.S. Narasimhan: Survey of vector bundles on curves -- F.O. Schreyer: Finite and countable CM-representation type -- I. Reiten: Finite dimensional algebras and singularities. With further contributions by: M. Auslander, W. Böhmer, R.O. Buchweitz, J.A. Christophersen, E. Dieterich, I.M. Drezet, D. Eisenbud, C. Ellingsrud, O. Forster, W. Geigle, D. Happel, J. Herzog, H. Knörrer, H. Lenzing, C.J. Rego, I. Reiten, K.W. Roggenkamp, H. Sanders, A. Schappert, J. Steenbrink, D. van Straten, S.A. Stromme, G. Trautmann, K. Wolffhardt, J. Wunram, S. Zucker.".
- catalog title "Singularities, representation of algebras, and vector bundles : proceedings of a symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13-17, 1985 / G.-M. Greuel, G. Trautmann (eds.)".
- catalog type "text".