Construction of Intertwining Operators between Holomorphic Discrete Series Representations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Nakahama, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210186
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Construction of Intertwining Operators between Holomorphic Discrete Series Representations / R. Nakahama // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 51 назв. — англ.

In this paper, we explicitly construct G₁-intertwining operators between holomorphic discrete series representations H of a Lie group G and those H₁ of a subgroup G₁⊂G when (G, G₁) is a symmetric pair of holomorphic type. More precisely, we construct G₁-intertwining projection operators from H onto...