| EPSRC Reference: |
GR/N19854/01 |
| Title: |
SUMMER SCHOOL : GEOMETRY OF QUIVER-REPRESENTATIONS AND PREPROJECTIVE ALGEBRAS |
| Principal Investigator: |
Erdmann, Dr K |
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| Department: |
Mathematical Institute |
| Organisation: |
University of Oxford |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
11 October 2000 |
Ends: |
10 November 2000 |
Value (£): |
7,067
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Algebras and their representations play an important role in various parts of mathematics; many topics in algebra, geometry and analysis may be reformulated as problems dealing with representations of groups and algebras and in this way may invoke ring and module theoretical methods or techniques from homological algebra and algebraic geometry. In all parts of mathematics vector spaces occur frequently, often they are endowed with a specific set of endomorphisms. But vector spaces with a prescribed set of endomorphisms are just modules over a corresponding associative algebra, thus representations of this algebra. In this way, various representation theories can be considered as special cases of the representation theory of associative algebras. This includes in particular linear actions of groups and Lie algebras on vector spaces, which arise in many contexts in the study of symmetry.Representations of quivers (directed graphs) and preprojective algebras provide a suitable environment for the use of algebraic geometry in representation theory. These will be studied in the Summer School to come. Topics will be module varieties, degenerations, the theorem of Kac on indecomposable representations as geometric invariant theory.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.ox.ac.uk |