1Mathematisch Instituut,, Universiteit Leiden, PO Box 9512, 2300 RA Leiden, Netherlands 2Lab. de Mathématiques, Université de Reims, Campus Moulin de la Housse, BP 1039, 51687 Reims, France
Journal of Lie Theory, Tome 17 (2007) no. 2, pp. 283-305
We discuss two different ring structures on the set of holomorphic discrete series of a causal symmetric space of Cayley type G/H and we suggest a new interpretation of Rankin-Cohen brackets in terms of intertwining operators arising in the decomposition of tensor products of holomorphic discrete series representations.
1
Mathematisch Instituut,, Universiteit Leiden, PO Box 9512, 2300 RA Leiden, Netherlands
2
Lab. de Mathématiques, Université de Reims, Campus Moulin de la Housse, BP 1039, 51687 Reims, France
Gerrit van Dijk; Michael Pevzner. Ring Structures for Holomorphic Discrete Series and Rankin-Cohen Brackets. Journal of Lie Theory, Tome 17 (2007) no. 2, pp. 283-305. http://geodesic.mathdoc.fr/item/JOLT_2007_17_2_a3/
@article{JOLT_2007_17_2_a3,
author = {Gerrit van Dijk and Michael Pevzner},
title = {Ring {Structures} for {Holomorphic} {Discrete} {Series} and {Rankin-Cohen} {Brackets}},
journal = {Journal of Lie Theory},
pages = {283--305},
year = {2007},
volume = {17},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2007_17_2_a3/}
}
TY - JOUR
AU - Gerrit van Dijk
AU - Michael Pevzner
TI - Ring Structures for Holomorphic Discrete Series and Rankin-Cohen Brackets
JO - Journal of Lie Theory
PY - 2007
SP - 283
EP - 305
VL - 17
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2007_17_2_a3/
ID - JOLT_2007_17_2_a3
ER -
%0 Journal Article
%A Gerrit van Dijk
%A Michael Pevzner
%T Ring Structures for Holomorphic Discrete Series and Rankin-Cohen Brackets
%J Journal of Lie Theory
%D 2007
%P 283-305
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2007_17_2_a3/
%F JOLT_2007_17_2_a3
