EPSRC Reference: |
GR/S25180/01 |
Title: |
The Bernstein-Gelfand-Gelfand category O, translation and stratified algebras |
Principal Investigator: |
Koenig, Professor S |
Other Investigators: |
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Researcher Co-Investigators: |
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Project Partners: |
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Department: |
Mathematics |
Organisation: |
University of Leicester |
Scheme: |
Standard Research (Pre-FEC) |
Starts: |
01 January 2003 |
Ends: |
30 June 2003 |
Value (£): |
1,114
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EPSRC Research Topic Classifications: |
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EPSRC Industrial Sector Classifications: |
No relevance to Underpinning Sectors |
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Related Grants: |
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Panel History: |
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Summary on Grant Application Form |
The project studies the Bernstein-Gelfand-Gelfand category of semisimple complex Lie algebras and related categories (relatively complete modules in the sense of Enright, Harish-Chandra bimodules) through finite-dimensional algebras. It aims at defining, describing and classifying translation functors (which are a fundamental tool in this and in related contexts) for appropriate classes of finite-dimensional algebras such as quasi-hereditary or stratified algebras. It also aims at further clarifying the homological structure of the standardly stratified algebras occurring in this context, focussing on determining homological dimensions such as representation dimension and finitistic dimension.
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Key Findings |
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Potential use in non-academic contexts |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
Summary |
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Date Materialised |
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Sectors submitted by the Researcher |
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.le.ac.uk |