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arXiv · 1506.05919

Norm computation and analytic continuation of vector valued holomorphic discrete series representations

Ryosuke Nakahama
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Abstract

In this paper 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.

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BibTeXRIS

Ryosuke Nakahama. 2015-06-19. Norm computation and analytic continuation of vector valued holomorphic discrete series representations. https://arxiv.org/abs/1506.05919

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