Irreducible Unitary Representations Concerning Homogeneous Holomorphic Line Bundles Over Elliptic Orbits
- Nobutaka Boumuki
- Tomonori Noda
Abstract
In this paper we consider a homogeneous holomorphic line bundle over an elliptic adjoint orbit of a real semisimple Lie group, and set a continuous representation of the Lie group on a certain complex vector subspace of the complex vector space of holomorphic cross-sections of the line bundle. Then, we demonstrate that the representation is irreducible unitary.- Full Text: PDF
- DOI:10.5539/jmr.v10n4p62
This work is licensed under a Creative Commons Attribution 4.0 License.
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