Singularities, Representation of Algebras, and Vector Bundles : Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13 17, 1985

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 consider...

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Collectivité auteur: Symposium of singularities, representation of algebras, and vectorbundles :Lambrecht, Germany
Autres auteurs: Greuel, Gert-Martin, 1944- (Directeur de la publication), Trautmann, Günther, 1940- (Directeur de la publication)
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 1273
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Edition sous un autre format:• 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, 1987, Berlin, Springer-Verlag, 1 vol. (XIV-383 p.), Lecture notes in mathematics, 3-540-18263-2
• Singularities, Representation of Algebras, and Vector Bundles, Texte imprimé, 9783662168639
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Résumé: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.
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ISBN:9783540478515 (PDF)
ISSN:1617-9692
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