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Details of Grant 

EPSRC Reference: GR/M75037/01
Title: REPRESENTATION THEORY OF LIE ALGEBRAS AND D-MODULES
Principal Investigator: Rumynin, Dr D
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: University of Warwick
Scheme: Standard Research (Pre-FEC)
Starts: 17 September 1999 Ends: 16 March 2002 Value (£): 3,350
EPSRC Research Topic Classifications:
Algebra & Geometry
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
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 representation of the universal enveloping algebra U (g) will be localised over the flag variety. The resulting shaves 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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Organisation Website: http://www.warwick.ac.uk