| EPSRC Reference: |
GR/R19472/01 |
| Title: |
Relating Polynomial Gl(N) - Representations of Different Degrees |
| Principal Investigator: |
Koenig, Professor S |
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| Department: |
Mathematics |
| Organisation: |
University of Leicester |
| Scheme: |
Fast Stream |
| Starts: |
01 October 2001 |
Ends: |
31 May 2003 |
Value (£): |
61,781
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Experiments show that decomposition numbers of GC(u) satisfy a fractal structure , ie certain patterns occur in different degrees. The project aims at proving isomorphisms between underlying algebraic structures, via certain centralised subalgebras of shear algebras. This should lead to a complete picture in the case of Gl(2) and it should provide much in formation in the general case GC(u).The theoretical part of the project combines combinatorial and algebraic methods. In addition, explicit examples will be compacted and data will be collected, using computer algebra systems (and additional programs to be developed in the project).
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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.le.ac.uk |