We study the relative discrete series of the -space of the sections of a line bundle over a bounded symmetric domain. We prove that all the discrete series appear as irreducible submodules of the tensor product of a holomorphic discrete series with a finite dimensional representation.
Cet article est une étude de la série relative discrète de l’espace des sections d’un fibré sur un domaine symétrique borné. On démontre que toute série discrète provient, en tant que sous-module irréductible, d’un produit tensoriel d’une série holomorphe discrète par une représentation de dimension finie.
@article{AIF_1996__46_4_1011_0, author = {Dooley, Anthony H. and {\O}rsted, Bent and Zhang, Genkai}, title = {Relative discrete series of line bundles over bounded symmetric domains}, journal = {Annales de l'Institut Fourier}, pages = {1011--1026}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {46}, number = {4}, year = {1996}, doi = {10.5802/aif.1538}, zbl = {0853.22011}, mrnumber = {98b:22028}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1538/} }
TY - JOUR AU - Dooley, Anthony H. AU - Ørsted, Bent AU - Zhang, Genkai TI - Relative discrete series of line bundles over bounded symmetric domains JO - Annales de l'Institut Fourier PY - 1996 SP - 1011 EP - 1026 VL - 46 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1538/ DO - 10.5802/aif.1538 LA - en ID - AIF_1996__46_4_1011_0 ER -
%0 Journal Article %A Dooley, Anthony H. %A Ørsted, Bent %A Zhang, Genkai %T Relative discrete series of line bundles over bounded symmetric domains %J Annales de l'Institut Fourier %D 1996 %P 1011-1026 %V 46 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1538/ %R 10.5802/aif.1538 %G en %F AIF_1996__46_4_1011_0
Dooley, Anthony H.; Ørsted, Bent; Zhang, Genkai. Relative discrete series of line bundles over bounded symmetric domains. Annales de l'Institut Fourier, Volume 46 (1996) no. 4, pp. 1011-1026. doi : 10.5802/aif.1538. https://aif.centre-mersenne.org/articles/10.5802/aif.1538/
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