| EPSRC Reference: |
EP/C006666/1 |
| Title: |
Canonical Hilbert space representations of discrete groups |
| Principal Investigator: |
Niblo, Professor GA |
| Other Investigators: |
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| Department: |
School of Mathematics |
| Organisation: |
University of Southampton |
| Scheme: |
Mathematics Small Grant PreFEC |
| Starts: |
15 April 2005 |
Ends: |
14 July 2005 |
Value (£): |
1,489
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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We plan to investigate algebraic objects known as groups. These are used in maths, science and engineering to measure symmetry as in lines of reflection, rotations and so on. Some very large (infinite!) and interesting groups arise in different contexts and we will study some of them using tools from a branch of mathematics known as Hilbert Space theory. This subject was developed in part to understand quantum mechanics and in part to study large families of functions all together. The study of groups and HIlbert Spaces is a vibrant part of mathematics today and we hope our results will be of use in both subjects.
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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.soton.ac.uk |