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Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series
Journal article   Open access   Peer reviewed

Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series

Paul-Emile Paradan
Journal of the European Mathematical Society, Vol.17(4), pp.955-990
2015

Abstract

holomorphic discrete series moment map reduction geometric quantization transversally elliptic symbol
In this paper we show that the multiplicities of holomorphic discrete series representations relatively to reductive subgroups satisfy the credo ''Quantization commutes with reduction''.
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https://doi.org/10.4171/JEMS/523View
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