Vector bundles associated to Lie algebras
-
Jon F. Carlson
,
Eric M. Friedlander
Abstract
We introduce and investigate a functorial construction which associates
coherent sheaves to finite dimensional (restricted) representations of
a restricted Lie algebra
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-1001102
Award Identifier / Grant number: DMS-0909314
Award Identifier / Grant number: DMS-0966589
Award Identifier / Grant number: DMS-0800930
Award Identifier / Grant number: DMS-0953011
Funding statement: The first author was partially supported by the NSF grant DMS-1001102. The second author was partially supported by the NSF grants DMS-0909314 and DMS-0966589. The third author was partially supported by the NSF grants DMS-0800930 and DMS-0953011.
We thank Burt Totaro for providing a reference necessary for simplifying our geometric assumptions in Section 3 and thank George McNinch for helpful discussions about separability of orbit maps. We are especially grateful to the referee for a careful reading of our paper.
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© 2016 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Stability and convergence of the Sasaki–Ricci flow
- Singular equivariant asymptotics and Weyl’s law. On the distribution of eigenvalues of an invariant elliptic operator
- Donaldson–Thomas invariants and flops
- Vector bundles associated to Lie algebras
- The twisted Kähler–Ricci flow
- Character rigidity for special linear groups
- The XJC-correspondence
Artikel in diesem Heft
- Frontmatter
- Stability and convergence of the Sasaki–Ricci flow
- Singular equivariant asymptotics and Weyl’s law. On the distribution of eigenvalues of an invariant elliptic operator
- Donaldson–Thomas invariants and flops
- Vector bundles associated to Lie algebras
- The twisted Kähler–Ricci flow
- Character rigidity for special linear groups
- The XJC-correspondence
