Geodesic
Norm Computation and Analytic Continuation of Vector Valued Holomorphic Discrete Series Representations
Ryosuke Nakahama1
1Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan
Journal of Lie Theory, Volume 26 (2016) no. 4, pp. 927-990

See the original article notice from the Heldermann Verlag source

We compute explicitly the norm of the vector-valued holomorphic discrete series representations, when its K-type is "almost multiplicity-free". As an application, we discuss the properties of highest weight modules, such as unitarizability, reducibility and composition series.
Classification: 22E45, 43A85, 17C30
Keywords: Holomorphic discrete series representations, highest weight modules, Jordan triple systems, composition series

Ryosuke Nakahama  1

1 Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan 
Ryosuke Nakahama. Norm Computation and Analytic Continuation of Vector Valued Holomorphic Discrete Series Representations. Journal of Lie Theory, Volume 26 (2016) no. 4, pp. 927-990. http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a1/
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     author = {Ryosuke Nakahama},
     title = {Norm {Computation} and {Analytic} {Continuation} of {Vector} {Valued} {Holomorphic} {Discrete} {Series} {Representations}},
     journal = {Journal of Lie Theory},
     pages = {927--990},
     year = {2016},
     volume = {26},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a1/}
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