| EPSRC Reference: |
GR/R16877/01 |
| Title: |
Operator Algebras and Euclidean Lattices |
| Principal Investigator: |
Power, Professor S |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mathematics and Statistics |
| Organisation: |
Lancaster University |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 June 2001 |
Ends: |
31 December 2001 |
Value (£): |
1,271
|
| EPSRC Research Topic Classifications: |
|
| EPSRC Industrial Sector Classifications: |
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
Two new operator algebras (the Fourier binest algebra and its hyperbolic variant) have been introduced recently in joint work of the principal investigator and the proposed fellow. The invariant subspace lattices of these algebras (with the weak operator topology) can be identified as foliated Euclidean manifolds and in this lies their novelty and connections with Lie semigroups. We intend to (i) develop the general theory of Euclidean lattice algebras further in this direction and (ii) relate invariant subspace structure to isometry representations of Lie semigroups.
|
|
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.lancs.ac.uk |