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    Singularities, Representation of Algebras, and Vector Bundles

Singularities, Representation of Algebras, and Vector Bundles

Gert-Martin Greuel
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      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.
      Format: Paperback / softback CONTRIBUTORS: Gert-Martin Greuel EAN: 9783540182634 COUNTRY: Germany PAGES: WEIGHT: 604 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG DATE PUBLISHED: 1987-09-09 CITY: GENRE: MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Group Theory, MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Groups and group theory, Calculus and mathematical analysis, Algebraic geometry

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      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.
      Format: Paperback / softback CONTRIBUTORS: Gert-Martin Greuel EAN: 9783540182634 COUNTRY: Germany PAGES: WEIGHT: 604 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG DATE PUBLISHED: 1987-09-09 CITY: GENRE: MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Group Theory, MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Groups and group theory, Calculus and mathematical analysis, Algebraic geometry

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      Be the first to write a review
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