| EPSRC Reference: |
GR/R37265/01 |
| Title: |
Homological Properties of Modules for Schur Algebras, Symmetric Groups & Generation |
| Principal Investigator: |
Erdmann, Dr K |
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| Department: |
Mathematical Institute |
| Organisation: |
University of Oxford |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 December 2002 |
Ends: |
31 August 2003 |
Value (£): |
8,336
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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In this project we will use the spectral sequences constructed in earlier joint work to relate extensions of modules for Schur algebras, to extensions of modules for symmetric groups and q-analogues. This requires to understand the images of simplle modules and Specht modules under the adjoints of the Schur functor. A specific objective is to study extensions of simple modules in a block fixed weight for symmetric groups, and the corresponding block component of the Schur algebra. Another specific objective is to study the implications for symmetric groups of the Lusztig conjecture, in particular to find a homological interpretation for decomposition numbers. We will study similar questions for q-Schur algebras and Hecke algebras of type A, and for other types of algebras.A further specific objective is to determine the complexity of Specht modules.
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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 |