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

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

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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.

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Main Authors: Greuel, Gert-Martin. editor., Trautmann, Günther. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1987
Subjects:Mathematics., Algebraic geometry., Topological groups., Lie groups., Mathematical analysis., Analysis (Mathematics)., Topological Groups, Lie Groups., Algebraic Geometry., Analysis.,
Online Access:http://dx.doi.org/10.1007/BFb0078834
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spelling KOHA-OAI-TEST:2074092018-07-30T23:37:41ZSingularities, Representation of Algebras, and Vector Bundles [electronic resource] : Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13–17, 1985 / Greuel, Gert-Martin. editor. Trautmann, Günther. editor. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1987.engIt 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.Survey of vector bundles on curves -- Finite and countable CM-representation type -- Finite dimensional algebras and singularities -- Cohen-Macaulay modules on quadrics -- Monomial curves and obstructions on cyclic quotient singularities -- The Grothendieck group of invariant rings and of simple hypersurface singularities -- Torsionsfreie Moduln bei Deformation von Kurvensingularitäten -- Deformation of modules on curves and surfaces -- A characterisation of strictly unimodular plane curve singularities -- Polar curves, resolution of singularities and the filtered mixed hodge structure on the vanishing cohomology -- On the betti numbers of the milnor fibre of a certain class of hypersurface singularities -- Reflexive modules on cyclic quotient surface singularities -- Almost split sequences for ?-graded rings -- The auslander-reiten quiver of an isolated singularity -- A class of weighted projective curves arising in representation theory of finite dimensional algebras -- Repetitive categories -- Almost split sequences for some non-classical lattice categories -- Special instanton bundles and poncelet curves -- Groupe de picard des variétés de modules de faisceaux semi-stables sur ?2 -- On the rationality of the moduli space for stable rank-2 vector bunoles on P2 -- A theorem on zero schemes of sections in two-bundles over affine schemes with applications to set theoretic intersections.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.Mathematics.Algebraic geometry.Topological groups.Lie groups.Mathematical analysis.Analysis (Mathematics).Mathematics.Topological Groups, Lie Groups.Algebraic Geometry.Analysis.Springer eBookshttp://dx.doi.org/10.1007/BFb0078834URN:ISBN:9783540478515
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Algebraic geometry.
Topological groups.
Lie groups.
Mathematical analysis.
Analysis (Mathematics).
Mathematics.
Topological Groups, Lie Groups.
Algebraic Geometry.
Analysis.
Mathematics.
Algebraic geometry.
Topological groups.
Lie groups.
Mathematical analysis.
Analysis (Mathematics).
Mathematics.
Topological Groups, Lie Groups.
Algebraic Geometry.
Analysis.
spellingShingle Mathematics.
Algebraic geometry.
Topological groups.
Lie groups.
Mathematical analysis.
Analysis (Mathematics).
Mathematics.
Topological Groups, Lie Groups.
Algebraic Geometry.
Analysis.
Mathematics.
Algebraic geometry.
Topological groups.
Lie groups.
Mathematical analysis.
Analysis (Mathematics).
Mathematics.
Topological Groups, Lie Groups.
Algebraic Geometry.
Analysis.
Greuel, Gert-Martin. editor.
Trautmann, Günther. editor.
SpringerLink (Online service)
Singularities, Representation of Algebras, and Vector Bundles [electronic resource] : Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13–17, 1985 /
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.
format Texto
topic_facet Mathematics.
Algebraic geometry.
Topological groups.
Lie groups.
Mathematical analysis.
Analysis (Mathematics).
Mathematics.
Topological Groups, Lie Groups.
Algebraic Geometry.
Analysis.
author Greuel, Gert-Martin. editor.
Trautmann, Günther. editor.
SpringerLink (Online service)
author_facet Greuel, Gert-Martin. editor.
Trautmann, Günther. editor.
SpringerLink (Online service)
author_sort Greuel, Gert-Martin. editor.
title Singularities, Representation of Algebras, and Vector Bundles [electronic resource] : Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13–17, 1985 /
title_short Singularities, Representation of Algebras, and Vector Bundles [electronic resource] : Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13–17, 1985 /
title_full Singularities, Representation of Algebras, and Vector Bundles [electronic resource] : Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13–17, 1985 /
title_fullStr Singularities, Representation of Algebras, and Vector Bundles [electronic resource] : Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13–17, 1985 /
title_full_unstemmed Singularities, Representation of Algebras, and Vector Bundles [electronic resource] : Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13–17, 1985 /
title_sort singularities, representation of algebras, and vector bundles [electronic resource] : proceedings of a symposium held in lambrecht/pfalz, fed. rep. of germany, dec. 13–17, 1985 /
publisher Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
publishDate 1987
url http://dx.doi.org/10.1007/BFb0078834
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