| EPSRC Reference: |
GR/M68886/01 |
| Title: |
REPRESENTATION THEORY OF LIE ALGEBRAS AND D-MODULES |
| Principal Investigator: |
Rumynin, Dr D |
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| Department: |
Mathematics |
| Organisation: |
University of Warwick |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
06 June 1999 |
Ends: |
05 December 2001 |
Value (£): |
4,698
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The philosophy successful in the solution of the Kazhdan-Lusztig problem is going to be applied in Modular Representation Theory. If g is a classical semi-simple p-Lie algebra, the representations of the universal enveloping algebra U (g) will be localised over the flag variety. The resulting sheaves will be investigated. On the other hand, representations of U (g) could be obtained as global sections of line bundles on Frobenius neighbourhoods of certain sub-varieties of Springer fibers. These modules will be closely investigated. Finally, all the attempts will be made to connect the representation theory of U (g) with (affine) Hecke algebras. Various closely related questions of Lie algebra representation theory and D-modules will be investigated as well.
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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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| Date Materialised |
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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.warwick.ac.uk |