Geodesic
Ring Structures for Holomorphic Discrete Series and Rankin-Cohen Brackets
Journal of Lie theory, Tome 17 (2007) no. 2, pp. 283-305

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22E46, 43A85, 11F60
Mots-clés : Discrete series representations, covariant quantization, para-Hermitian symmetric spaces, Rankin-Cohen brackets 
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     author = {G. van Dijk and M. Pevzner },
     title = {Ring {Structures} for {Holomorphic} {Discrete} {Series} and {Rankin-Cohen} {Brackets}},
     journal = {Journal of Lie theory},
     pages = {283--305},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a3/}
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G. van Dijk; M. 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/JLT_2007_17_2_JLT_2007_17_2_a3/