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Details of Grant 

EPSRC Reference: GR/S25180/01
Title: The Bernstein-Gelfand-Gelfand category O, translation and stratified algebras
Principal Investigator: Koenig, Professor S
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: University of Leicester
Scheme: Standard Research (Pre-FEC)
Starts: 01 January 2003 Ends: 30 June 2003 Value (£): 1,114
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 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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Organisation Website: http://www.le.ac.uk