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

Paradan, Paul-Emile. "Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series." Journal of the European Mathematical Society 017.4 (2015): 955-990. <http://eudml.org/doc/277716>.

@article{Paradan2015,
abstract = {In this paper we show that the multiplicities of holomorphic discrete series representations relative to reductive subgroups satisfy the credo “quantization commutes with reduction”.},
author = {Paradan, Paul-Emile},
journal = {Journal of the European Mathematical Society},
keywords = {holomorphic discrete series; moment map; reduction; geometric quantization; transversally elliptic symbol; holomorphic discrete series; moment map; reduction; geometric quantization; transversally elliptic symbol},
language = {eng},
number = {4},
pages = {955-990},
publisher = {European Mathematical Society Publishing House},
title = {Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series},
url = {http://eudml.org/doc/277716},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Paradan, Paul-Emile
TI - Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 4
SP - 955
EP - 990
AB - In this paper we show that the multiplicities of holomorphic discrete series representations relative to reductive subgroups satisfy the credo “quantization commutes with reduction”.
LA - eng
KW - holomorphic discrete series; moment map; reduction; geometric quantization; transversally elliptic symbol; holomorphic discrete series; moment map; reduction; geometric quantization; transversally elliptic symbol
UR - http://eudml.org/doc/277716
ER -