Journal of Lie Theory

no. 2
Ring Structures for Holomorphic Discrete Series and Rankin-Cohen Brackets
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.447
Classification: 22E46, 43A85, 11F60
Keywords: Discrete series representations, covariant quantization, para-Hermitian symmetric spaces, Rankin-Cohen brackets 
@article{JOLT_2007_17_2_a3,
     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},
     year = {2007},
     volume = {17},
     number = {2},
     doi = {10.5802/jolt.447},
     zbl = {1123.22009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.447/}
}
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G. van Dijk; M. Pevzner. Ring Structures for Holomorphic Discrete Series and Rankin-Cohen Brackets. Journal of Lie Theory, Volume 17 (2007) no. 2, pp. 283-305. doi: 10.5802/jolt.447

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