Kontsevich Deformation Quantization on Lie Algebras
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 365-379
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
We consider Kontsevich star product on the dual $\frak{g}^*$ of a general Lie algebra g equipped with the linear Poisson bracket. We show that this star product provides a deformation quantization by partial embeddings in the direction of the Poisson bracket.
@article{BUMI_2007_8_10B_2_a6,
author = {Ben Amar, Nabiha and Chaabouni, Mouna and Hfaiedh, Mabrouka},
title = {Kontsevich {Deformation} {Quantization} on {Lie} {Algebras}},
journal = {Bollettino della Unione matematica italiana},
pages = {365--379},
publisher = {mathdoc},
volume = {Ser. 8, 10B},
number = {2},
year = {2007},
zbl = {1178.53092},
mrnumber = {2339447},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a6/}
}
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Ben Amar, Nabiha; Chaabouni, Mouna; Hfaiedh, Mabrouka. Kontsevich Deformation Quantization on Lie Algebras. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 365-379. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a6/