| EPSRC Reference: |
EP/I022317/1 |
| Title: |
Generic points in representation varieties with applications to Lie theory and 0-Schur algebras |
| Principal Investigator: |
Su, Dr X |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Bath |
| Scheme: |
First Grant - Revised 2009 |
| Starts: |
16 January 2012 |
Ends: |
15 January 2014 |
Value (£): |
91,831
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| EPSRC Research Topic Classifications: |
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Representation theory of quivers (RQT)and Lie theory (LT) are closelyrelated, for instance via root systems.This proposalexplores new connectionsbetween RTQ, LT,quantised enveloping algebras (QEA) and quantised Schur algebras ( QSA).The applicant will first study generic phenomena inrepresentation varieties, in particular, the existence of open orbits, and genericpoints in varieties of pairs of projective representations. Then she will work oninterpreting the generic phenomena in the setting of LT, QEA and QSA.The main applications will be to show the existence of Richardson elementsfor some classes of Lie algebras, in particular for seaweed Lie algebras. Otherapplications include a natural interpretation of combinatorial properties ofroot systems of simple Lie algebras and a new construction of crystal bases.
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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.bath.ac.uk |