ENGLISH

Singularities, Representation of Algebras, and Vector Bundles

By G. M. Greuel , G. Trautmann

Book information

Publisher
Springer
Year
1987
ISBN
9780387182636, 0-387-18263-2
Open Library ID
OL10152463M
Language
english
Format
DJVU
Filesize
3 MB (2739965 bytes)
Series
Lecture Notes in Mathematics
Pages
406\406
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11

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.

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