Berezin-Weyl quantization for Cartan motion groups

Benjamin Cahen

Commentationes Mathematicae Universitatis Carolinae (2011)

  • Volume: 52, Issue: 1, page 127-137
  • ISSN: 0010-2628

Abstract

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We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].

How to cite

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Cahen, Benjamin. "Berezin-Weyl quantization for Cartan motion groups." Commentationes Mathematicae Universitatis Carolinae 52.1 (2011): 127-137. <http://eudml.org/doc/246305>.

@article{Cahen2011,
abstract = {We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].},
author = {Cahen, Benjamin},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semidirect product; Cartan motion group; unitary representation; semisimple Lie group; symplectomorphism; coadjoint orbit; Weyl quantization; Berezin quantization; semidirect product; Cartan motion group; unitary representation; semisimple Lie group; symplectomorphism; coadjoint orbit; Weyl quantization; Berezin quantization},
language = {eng},
number = {1},
pages = {127-137},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Berezin-Weyl quantization for Cartan motion groups},
url = {http://eudml.org/doc/246305},
volume = {52},
year = {2011},
}

TY - JOUR
AU - Cahen, Benjamin
TI - Berezin-Weyl quantization for Cartan motion groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 1
SP - 127
EP - 137
AB - We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].
LA - eng
KW - semidirect product; Cartan motion group; unitary representation; semisimple Lie group; symplectomorphism; coadjoint orbit; Weyl quantization; Berezin quantization; semidirect product; Cartan motion group; unitary representation; semisimple Lie group; symplectomorphism; coadjoint orbit; Weyl quantization; Berezin quantization
UR - http://eudml.org/doc/246305
ER -

References

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