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

Published 4 Sep 2017 in math.RT and math.SG | (1709.00922v1)

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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