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arXiv · 1709.00922

Kirillov's orbit method: the case of discrete series representations

Paul-Emile Paradan
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Abstract

Let V be an Harish-Chandra discrete series representation of a real semi-simple Lie group G' and let G be a semi-simple subgroup of G'. In this paper, we give a geometric expression of the G-multiplicities in V when the representation V is supposed to be G-admissible.

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BibTeXRIS

Paul-Emile Paradan. 2017-09-04. Kirillov's orbit method: the case of discrete series representations. https://doi.org/10.1215/00127094-2019-0059

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