Kontsevich Deformation Quantization on Lie Algebras
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 365-379
Cet article a éte moissonné depuis 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},
year = {2007},
volume = {Ser. 8, 10B},
number = {2},
zbl = {1178.53092},
mrnumber = {2339447},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a6/}
}
TY - JOUR AU - Ben Amar, Nabiha AU - Chaabouni, Mouna AU - Hfaiedh, Mabrouka TI - Kontsevich Deformation Quantization on Lie Algebras JO - Bollettino della Unione matematica italiana PY - 2007 SP - 365 EP - 379 VL - 10B IS - 2 UR - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a6/ LA - en ID - BUMI_2007_8_10B_2_a6 ER -
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/