| EPSRC Reference: |
EP/G025487/1 |
| Title: |
Modular Lie powers and applications |
| Principal Investigator: |
Erdmann, Dr K |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematical Institute |
| Organisation: |
University of Oxford |
| Scheme: |
Standard Research |
| Starts: |
01 January 2009 |
Ends: |
28 February 2011 |
Value (£): |
130,301
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| EPSRC Research Topic Classifications: |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Related Grants: |
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| Panel History: |
| Panel Date | Panel Name | Outcome |
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04 Sep 2008
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Mathematics Prioritisation Panel
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Announced
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Summary on Grant Application Form |
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A module, in the sense used here, is a mathematical object consisting of a space and a group acting on the space. For example, we could take ordinary 2-dimensional space, choose an axis, that is, a straight line in the space, and then take the set of all possible rotations of 3-dimensional space about the axis, by any number of degrees. The set of all these rotations is an example of what mathematicians call a group: the key property is that the result of applying one rotation followed by another is again a rotation (for example, rotation by 20 degrees followed by a rotation by 15 degrees results in a rotation by 35 degrees). Modules are of fundamental importance in mathematics. If we are given a module then there are various natural ways of forming new modules from it. Among these new modules are the so-called Lie powers of the original module. (The construction of these utilise another mathematical object called a Lie algebra.) The purpose of this project is to investigate properties of the Lie powers.
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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.ox.ac.uk |