Journal of Lie Theory

no. 2
Contraction of Discrete Series via Berezin Quantization
Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 291-310
We establish and study a contraction of the holomorphic discrete series representations of a non-compact semi-simple Lie group to the unitary irreducible representations of a Heisenberg group by means of Berezin quantization.
DOI: 10.5802/jolt.554
Classification: 22E46, 81R30, 46E22
Keywords: Contraction of representations, holomorphic discrete series, semisimple Lie group, reproducing kernel Hilbert space, coherent states, Berezin quantization, Berezin symbols 
@article{JOLT_2009_19_2_a7,
     author = {B. Cahen},
     title = {Contraction of {Discrete} {Series} via {Berezin} {Quantization}},
     journal = {Journal of Lie Theory},
     pages = {291--310},
     year = {2009},
     volume = {19},
     number = {2},
     doi = {10.5802/jolt.554},
     zbl = {1185.22007},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.554/}
}
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B. Cahen. Contraction of Discrete Series via Berezin Quantization. Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 291-310. doi: 10.5802/jolt.554

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