| EPSRC Reference: |
GR/L91382/01 |
| Title: |
DEVELOPMENT OF THE THEORY OF MULTIVALUED GROUPS |
| Principal Investigator: |
Rees, Professor EG |
| Other Investigators: |
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| Department: |
Sch of Mathematics |
| Organisation: |
University of Edinburgh |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 February 1998 |
Ends: |
31 January 2001 |
Value (£): |
4,100
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The research to be carried out is all related to the further development of the theory of multivalued groups which seem rather ubiquitous in mathematics. Professor Buchstaber has a great deal of experience of working on formal multivalued groups and this is a very important ingredient in our work. It is proposed to understand better the relationship between n-ring homomorphisms and work of Frobenius, Formanek and others. There is a very close relationship between n-ring homomorphisms and the symmetric products of spaces and varieties; this research plans to case new light on the properties of symmetric products. Another area to be investigated is the precise relationship between combinatorial algebras (such as Bose-Mesner and fusion algebras) and group algebras of n-valued groups; this extends recent work by Vershik and others.
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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.ed.ac.uk |