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Schr\"odinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups

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Author(s): Benjamin Cahen

Publication date Created: 2017-01-16

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Abstract

We introduce a Schr\"odinger model for the unitary irreducible representations of a Heisenberg motion group and we show that the usual Weyl quantization then provides a Stratonovich-Weyl correspondence.

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Most cited references 18

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Quantization and unitary representations

Bertram Kostant (1970)

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QUANTIZATION

F. A. Berezin (1974)

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QUANTIZATION IN COMPLEX SYMMETRIC SPACES

F. A. Berezin (1975)

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Author and article information

Journal

Publication date Created: 2017-01-16

Article

DOI: 10.13137/2464-8728/13170

ArXiV ID: 1701.04361

SO-VID: 864aed42-d695-4ff6-a32c-70c26c3b916b

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

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ACM classes 22E45, 22E70, 22E20, 81S10, 81R30

Journal reference Rend. Istit. Mat. Univ. Trieste, Volume 48 (2016), 509-530

Comments We have performed some minor corrections to the published version

Categories math.RT

ScienceOpen disciplines: Algebra

Data availability:

ScienceOpen disciplines: Algebra

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