| EPSRC Reference: |
GR/K30667/02 |
| Title: |
REPRESENTATION THEORY OF W-ALGEBRAS |
| Principal Investigator: |
Watts, Professor G |
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| Department: |
Mathematics |
| Organisation: |
Kings College London |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 January 1998 |
Ends: |
28 February 1998 |
Value (£): |
44,164
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The aim of the proposed theory is to find a general framework within which to study the representation theory of W-algebras, which are the appropriate symmetryalgebras of two-dimensional conformal field theory (cft). The approach will be to investigate the structure of Verma modules, and in particular to try to extend the role of Kazhdan-Lusztig theory found in Lie algebras and finite W-algebras to the W-algebras of cft. The results for finite W-algebras suggest that Kazhdan-Lusztig theory plays a fundamental role in the class of W-algebras related to Lie algebras. These can all be defined by a BRST procedure. We expect that progress in these two directions will give important new insights into the problem of classification of W-algebras.
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Key Findings |
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Potential use in non-academic contexts |
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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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