| EPSRC Reference: |
EP/F004273/1 |
| Title: |
Verma modules for finite W-algebras |
| Principal Investigator: |
Goodwin, Professor SM |
| Other Investigators: |
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| Department: |
School of Mathematics |
| Organisation: |
University of Birmingham |
| Scheme: |
Overseas Travel Grants (OTGS) |
| Starts: |
07 June 2007 |
Ends: |
06 October 2007 |
Value (£): |
10,742
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Physics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Panel History: |
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Summary on Grant Application Form |
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The ultimate aim of this project is to determine the finite dimensional simple modules for finite W-algebras. Finite W-algebras occur in the study of infinite dimensionalrepresentations of complex semisimple Lie algebras and also in mathematical physics. Further, the representation theory of finite W-algebras has connections to the representation theory of quantum groups and cyclotomic Hecke algebras. We intend to define Verma modules for finite W-algebras, which have simple heads and such that each finite dimensional simple module occurs as one of these heads.
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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 |
| Summary |
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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.bham.ac.uk |