The categories of representations and holomorphic maps into Grassmannians
Abstract
We will show that the category of the unitary representations of a compact, connected, simply connected, semisimple Lie group is isomorphic to one of full holomorphic maps of a flag manifold to complex Grassmannians with gauge condition for semipositive Hermitian holomorphic homogeneous vector bundles.
Fields of Study & Subjects
Advanced Algebra and Geometry
Geometry and complex manifolds
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Proceedings of the American Mathematical Society Series B
- Publisher
- American Mathematical Society (AMS)
- Volume
- 13
- Issue
- 5
- Pages
- 37–43
- Publication date
- 15 April 2026
- Language
- EN