| EPSRC Reference: |
GR/R86546/01 |
| Title: |
Representation Theory and Geometry: Generalized Steinberg Varieties |
| Principal Investigator: |
Roehrle, Professor G |
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| Department: |
School of Mathematics |
| Organisation: |
University of Birmingham |
| Scheme: |
Fast Stream |
| Starts: |
25 March 2003 |
Ends: |
24 March 2006 |
Value (£): |
61,793
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The proposal is concerned with computing topological invariants, namely homology and K-theory of generalized Steinberg varieties and the representation theoretic relevance of these varieties. We hope that a better understanding of the Borel-Moor homology and equivariant K-groups of these varieties will provide a link between Springer representations of parabolic subgroups of the Weyl group and representations of the underlying reductive group G.In a second part we study the relationship between the set of abelian ideals of a Borel subalgebra of a semisimple complex Lie algebra and the Bruhat order on the set of minuscule elements of the associated affine Weyl group.In a third part we are concerned with the Auslander-Reiten theory of higher Frobenius kernels of reductive algebraic groups in positive characteristic. Specifically we want to study the rank varieties of baby Verma modules of semisimple groups of rank 2 and determine the tree class of their Auslander-Reiten components.
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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.bham.ac.uk |