Kontsevich Deformation Quantization on Lie Algebras
Ben Amar, Nabiha ; Chaabouni, Mouna ; Hfaiedh, Mabrouka
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 365-379 / Harvested from Biblioteca Digitale Italiana di Matematica
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We consider Kontsevich star product on the dual 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.

Consideriamo il prodotto star di Kontsevich sul duale 𝔤* di una algebra di Lie generale g dotata di parentesi di Poisson lineare. Mostriamo che questo prodotto star fornisce una quantizzazione di deformazione mediante immersioni parziali nella direzione della parentesi di Poisson.

Publié le : 2007-06-01
@article{BUMI_2007_8_10B_2_365_0,
     author = {Nabiha Ben Amar and Mouna Chaabouni and Mabrouka Hfaiedh},
     title = {Kontsevich Deformation Quantization on Lie Algebras},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {10-A},
     year = {2007},
     pages = {365-379},
     zbl = {1178.53092},
     mrnumber = {2339447},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_2_365_0}
}

Ben Amar, Nabiha; Chaabouni, Mouna; Hfaiedh, Mabrouka. Kontsevich Deformation Quantization on Lie Algebras. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 365-379. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_2_365_0/

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