| EPSRC Reference: |
GR/K30667/01 |
| Title: |
REPRESENTATION THEORY OF W-ALGEBRAS |
| Principal Investigator: |
Watts, Professor G |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Unknown (Data Transfer) |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 1995 |
Ends: |
26 May 1998 |
Value (£): |
74,804
|
| EPSRC Research Topic Classifications: |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
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.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.cam.ac.uk |