Geodesic
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. 
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     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},
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     volume = {Ser. 8, 10B},
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     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/