Geodesic
Stratonovich-Weyl Correspondence for the Generalized Poincaré Group
Benjamin Cahen1
1Université de Lorraine, Dép. de Mathématiques, 3 rue Augustin Fresnel, 57073 Metz Cedex 03, France
Journal of Lie Theory, Tome 28 (2018) no. 4, pp. 1043-1062

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

We construct a Stratonovich-Weyl correspondence for each unitary irreducible representation of the generalized Poincar\'e group $ {\mathbb R}^{n+1}\rtimes SO_0(n,1)$ associated with an integral coadjoint orbit with little group $SO(n)$, generalizing some results of J.\,F.\,Cari\~{n}ena, J.\,M.\,Gracia-Bond\`{i}a and J.\,C.\,V\`{a}rilly [J. Phys. A: Math. Gen. 23 (1990) 901--933].
Classification : 81S10, 22E46, 22E45, 81R05
Mots-clés : Poincaré group, coadjoint orbit, unitary representation, Weyl quantization, Berezin quantization, Stratonovich-Weyl correspondence

Benjamin Cahen  1

1 Université de Lorraine, Dép. de Mathématiques, 3 rue Augustin Fresnel, 57073 Metz Cedex 03, France 
Benjamin Cahen. Stratonovich-Weyl Correspondence for the Generalized Poincaré Group. Journal of Lie Theory, Tome 28 (2018) no. 4, pp. 1043-1062. http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a6/
@article{JOLT_2018_28_4_a6,
     author = {Benjamin Cahen},
     title = {Stratonovich-Weyl {Correspondence} for the {Generalized} {Poincar\'e} {Group}},
     journal = {Journal of Lie Theory},
     pages = {1043--1062},
     year = {2018},
     volume = {28},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a6/}
}
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