| EPSRC Reference: |
GR/M67155/01 |
| Title: |
AFFINE HECKE ALGEGRAS AND CANONICAL BASES FOR QUANTUM GROUPS |
| Principal Investigator: |
Nazarov, Professor M |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of York |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
13 September 1999 |
Ends: |
12 September 2000 |
Value (£): |
2,380
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Logic & Combinatorics |
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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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The aim of this project is to develop further the representation theory of the Hecke Hn of the group GLn over a p-adic field, relative to the Iwahori subgroup. We propose to find an irreducibility criterion for a wide class of induced representations of the algebra Hn. Representations from this class are parametrised by the sequences of pairs consisting of a skew Young diagram and a complex number, the total number of boxes in these diagrams being n. In the particular case when each of these diagrams consists of one row only, such a criterion was found by A.Zelevinsky in 1980. He used the representation theory of the p-adic group GLn itself. We are going to employ the canonical basis, due to M.Kashiwara and G.Lusztig, in the quantum co-ordinate ring of the complex group of triangular unipotent matrices.
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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.york.ac.uk |